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14122515143040 = 27357355476637
BaseRepresentation
bin1100110110000010011101…
…1111111001100110000000
31212000002200100210001212220
43031200213133321212000
53322340402334034130
650011443251451040
72655214043031363
oct315404737714600
955002610701786
1014122515143040
114555363696a17
1217010558b6a80
137b5994240225
1436b7678480da
1519755bac1410
hexcd8277f9980

14122515143040 has 64 divisors (see below), whose sum is σ = 45015517024560. Its totient is φ = 3766004037632.

The previous prime is 14122515142999. The next prime is 14122515143047. The reversal of 14122515143040 is 4034151522141.

14122515143040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×141225151430402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14122515142992 and 14122515143010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14122515143047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3677736399 + ... + 3677740238.

Almost surely, 214122515143040 is an apocalyptic number.

14122515143040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14122515143040 is an abundant number, since it is smaller than the sum of its proper divisors (30893001881520).

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

14122515143040 is an equidigital number, since it uses as much as digits as its factorization.

14122515143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7355476659 (or 7355476647 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 14122515143040 its reverse (4034151522141), we get a palindrome (18156666665181).

The spelling of 14122515143040 in words is "fourteen trillion, one hundred twenty-two billion, five hundred fifteen million, one hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 7355476637 14710953274 22066429911 29421906548 36777383185 44132859822 58843813096 73554766370 88265719644 110332149555 117687626192 147109532740 176531439288 220664299110 235375252384 294219065480 353062878576 441328598220 470750504768 588438130960 706125757152 882657196440 941501009536 1176876261920 1412251514304 1765314392880 2353752523840 2824503028608 3530628785760 4707505047680 7061257571520 14122515143040