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10140433006632 = 2333731136718349
BaseRepresentation
bin1001001110010000000011…
…1010000100000000101000
31022220102020012201011000020
42103210000322010000220
52312120101322203012
633322241155440440
72064423245245515
oct223440072040050
938812205634006
1010140433006632
11325a596087485
12117934a5b6120
13587314647456
14270b2a07430c
15128b98b97a8c
hex93900e84028

10140433006632 has 64 divisors (see below), whose sum is σ = 26119965456000. Its totient is φ = 3278214109440.

The previous prime is 10140433006607. The next prime is 10140433006679. The reversal of 10140433006632 is 23660033404101.

It is a junction number, because it is equal to n+sod(n) for n = 10140433006593 and 10140433006602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18083007 + ... + 18635342.

It is an arithmetic number, because the mean of its divisors is an integer number (408124460250).

Almost surely, 210140433006632 is an apocalyptic number.

10140433006632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10140433006632 is an abundant number, since it is smaller than the sum of its proper divisors (15979532449368).

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

10140433006632 is a wasteful number, since it uses less digits than its factorization.

10140433006632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36718706 (or 36718702 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 10140433006632 in words is "ten trillion, one hundred forty billion, four hundred thirty-three million, six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 311 444 622 888 933 1244 1866 2488 3732 7464 11507 23014 34521 46028 69042 92056 138084 276168 36718349 73436698 110155047 146873396 220310094 293746792 440620188 881240376 1358578913 2717157826 4075736739 5434315652 8151473478 10868631304 11419406539 16302946956 22838813078 32605893912 34258219617 45677626156 68516439234 91355252312 137032878468 274065756936 422518041943 845036083886 1267554125829 1690072167772 2535108251658 3380144335544 5070216503316 10140433006632