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232124310044032 = 2772085911241987
BaseRepresentation
bin110100110001110110100111…
…000010110011110110000000
31010102212212102021110012102111
4310301312213002303312000
5220411111041332402112
62141404234053225104
766615266536322410
oct6461664702636600
91112785367405374
10232124310044032
1167a6440460816a
122204b2b5932194
139c6a2c8074963
144146c3b386640
151bc81453b65a7
hexd31da70b3d80

232124310044032 has 64 divisors (see below), whose sum is σ = 528500272227840. Its totient is φ = 99481290140160.

The previous prime is 232124310044027. The next prime is 232124310044057. The reversal of 232124310044032 is 230440013421232.

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

It is a junction number, because it is equal to n+sod(n) for n = 232124310043985 and 232124310044003.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 186276543 + ... + 187518529.

It is an arithmetic number, because the mean of its divisors is an integer number (8257816753560).

Almost surely, 2232124310044032 is an apocalyptic number.

It is an amenable number.

232124310044032 is an abundant number, since it is smaller than the sum of its proper divisors (296375962183808).

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

232124310044032 is a wasteful number, since it uses less digits than its factorization.

232124310044032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450599 (or 1450587 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 232124310044032 its reverse (230440013421232), we get a palindrome (462564323465264).

The spelling of 232124310044032 in words is "two hundred thirty-two trillion, one hundred twenty-four billion, three hundred ten million, forty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 208591 417182 834364 1241987 1460137 1668728 2483974 2920274 3337456 4967948 5840548 6674912 8693909 9935896 11681096 13349824 17387818 19871792 23362192 26699648 34775636 39743584 46724384 69551272 79487168 93448768 139102544 158974336 186897536 278205088 556410176 1112820352 259067310317 518134620634 1036269241268 1813471172219 2072538482536 3626942344438 4145076965072 7253884688876 8290153930144 14507769377752 16580307860288 29015538755504 33160615720576 58031077511008 116062155022016 232124310044032