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14532403120000 = 27541811003619
BaseRepresentation
bin1101001101111001011010…
…1110011100011110000000
31220110021200011022201021121
43103132112232130132000
53401044330144320000
650524032133402024
73026634332245513
oct323362656343600
956407604281247
1014532403120000
1146a318077a7a7
121768588499314
138155272a58bc
1438352cd2cd7a
151a304b5eab1a
hexd3796b9c780

14532403120000 has 160 divisors (see below), whose sum is σ = 36377421280200. Its totient is φ = 5780839680000.

The previous prime is 14532403119991. The next prime is 14532403120009. The reversal of 14532403120000 is 2130423541.

It is an interprime number because it is at equal distance from previous prime (14532403119991) and next prime (14532403120009).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×145324031200002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14532403120009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13978191 + ... + 14981809.

Almost surely, 214532403120000 is an apocalyptic number.

14532403120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14532403120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18188710640100).

14532403120000 is an abundant number, since it is smaller than the sum of its proper divisors (21845018160200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14532403120000 is an equidigital number, since it uses as much as digits as its factorization.

14532403120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003834 (or 1003807 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 14532403120000 its reverse (2130423541), we get a palindrome (14534533543541).

The spelling of 14532403120000 in words is "fourteen trillion, five hundred thirty-two billion, four hundred three million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 181 200 250 320 362 400 500 625 640 724 800 905 1000 1250 1448 1600 1810 2000 2500 2896 3200 3620 4000 4525 5000 5792 7240 8000 9050 10000 11584 14480 16000 18100 20000 22625 23168 28960 36200 40000 45250 57920 72400 80000 90500 113125 115840 144800 181000 226250 289600 362000 452500 579200 724000 905000 1003619 1448000 1810000 2007238 2896000 3620000 4014476 5018095 7240000 8028952 10036190 14480000 16057904 20072380 25090475 32115808 40144760 50180950 64231616 80289520 100361900 125452375 128463232 160579040 181655039 200723800 250904750 321158080 363310078 401447600 501809500 627261875 642316160 726620156 802895200 908275195 1003619000 1254523750 1453240312 1605790400 1816550390 2007238000 2509047500 2906480624 3211580800 3633100780 4014476000 4541375975 5018095000 5812961248 7266201560 8028952000 9082751950 10036190000 11625922496 14532403120 16057904000 18165503900 20072380000 22706879875 23251844992 29064806240 36331007800 40144760000 45413759750 58129612480 72662015600 80289520000 90827519500 113534399375 116259224960 145324031200 181655039000 227068798750 290648062400 363310078000 454137597500 581296124800 726620156000 908275195000 1453240312000 1816550390000 2906480624000 3633100780000 7266201560000 14532403120000