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232432144443040 = 25519290926283239
BaseRepresentation
bin110100110110010101010011…
…011001110110011010100000
31010110222021222210011221012211
4310312111103121312122200
5220431132012434134130
62142201504132531504
766646445134460353
oct6466252331663240
91113867883157184
10232432144443040
1168072a12054393
122209aaa6a80b94
139c90346014709
144157ac0ba629a
151bd116075da2a
hexd365536766a0

232432144443040 has 96 divisors (see below), whose sum is σ = 578220766704000. Its totient is φ = 88049267831808.

The previous prime is 232432144443019. The next prime is 232432144443047. The reversal of 232432144443040 is 40344441234232.

232432144443040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 232432144442984 and 232432144443002.

It is not an unprimeable number, because it can be changed into a prime (232432144443047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4298260 + ... + 21984979.

It is an arithmetic number, because the mean of its divisors is an integer number (6023132986500).

Almost surely, 2232432144443040 is an apocalyptic number.

232432144443040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232432144443040 is an abundant number, since it is smaller than the sum of its proper divisors (345788622260960).

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

232432144443040 is a wasteful number, since it uses less digits than its factorization.

232432144443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26286182 (or 26286174 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 40.

Adding to 232432144443040 its reverse (40344441234232), we get a palindrome (272776585677272).

The spelling of 232432144443040 in words is "two hundred thirty-two trillion, four hundred thirty-two billion, one hundred forty-four million, four hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 2909 3040 5818 11636 14545 23272 29090 46544 55271 58180 93088 110542 116360 221084 232720 276355 442168 465440 552710 884336 1105420 1768672 2210840 4421680 8843360 26283239 52566478 105132956 131416195 210265912 262832390 420531824 499381541 525664780 841063648 998763082 1051329560 1997526164 2102659120 2496907705 3995052328 4205318240 4993815410 7990104656 9987630820 15980209312 19975261640 39950523280 76457942251 79901046560 152915884502 305831769004 382289711255 611663538008 764579422510 1223327076016 1452700902769 1529158845020 2446654152032 2905401805538 3058317690040 5810803611076 6116635380080 7263504513845 11621607222152 12233270760160 14527009027690 23243214444304 29054018055380 46486428888608 58108036110760 116216072221520 232432144443040