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140322421200 = 24352138995027
BaseRepresentation
bin1000001010101111011…
…1100011100111010000
3111102012022101120111010
42002223313203213100
54244340014434300
6144244020250520
713065214620543
oct2025367434720
9442168346433
10140322421200
1154568391a45
1223241840a40
1310303610280
146b1239a85a
1539b41ada50
hex20abde39d0

140322421200 has 120 divisors (see below), whose sum is σ = 484076426848. Its totient is φ = 34540899840.

The previous prime is 140322421199. The next prime is 140322421201. The reversal of 140322421200 is 2124223041.

140322421200 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (140322421199) and next prime (140322421201).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140322421201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4481914 + ... + 4513113.

Almost surely, 2140322421200 is an apocalyptic number.

140322421200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140322421200 is an abundant number, since it is smaller than the sum of its proper divisors (343754005648).

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

140322421200 is a wasteful number, since it uses less digits than its factorization.

140322421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8995061 (or 8995050 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 140322421200 its reverse (2124223041), we get a palindrome (142446644241).

The spelling of 140322421200 in words is "one hundred forty billion, three hundred twenty-two million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 8995027 17990054 26985081 35980108 44975135 53970162 71960216 89950270 107940324 116935351 134925405 143920432 179900540 215880648 224875675 233870702 269850810 350806053 359801080 431761296 449751350 467741404 539701620 584676755 674627025 701612106 719602160 899502700 935482808 1079403240 1169353510 1349254050 1403224212 1754030265 1799005400 1870965616 2158806480 2338707020 2698508100 2806448424 2923383775 3508060530 3598010800 4677414040 5397016200 5612896848 5846767550 7016121060 8770151325 9354828080 10794032400 11693535100 14032242120 17540302650 23387070200 28064484240 35080605300 46774140400 70161210600 140322421200