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31444001928 = 2333754719289
BaseRepresentation
bin11101010010001101…
…010110010010001000
310000011101102210122000
4131102031112102020
51003344131030203
622240054031000
72162132415003
oct352215262210
9100141383560
1031444001928
1112376357059
126116648460
132c715abb01
14174413253a
15c407b14a3
hex752356488

31444001928 has 64 divisors (see below), whose sum is σ = 87360552000. Its totient is φ = 10479401856.

The previous prime is 31444001923. The next prime is 31444001959. The reversal of 31444001928 is 82910044413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31444001892 and 31444001901.

It is not an unprimeable number, because it can be changed into a prime (31444001923) 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, 1620508 + ... + 1639796.

It is an arithmetic number, because the mean of its divisors is an integer number (1365008625).

Almost surely, 231444001928 is an apocalyptic number.

It is an amenable number.

31444001928 is an abundant number, since it is smaller than the sum of its proper divisors (55916550072).

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

31444001928 is a wasteful number, since it uses less digits than its factorization.

31444001928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26851 (or 26841 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 31444001928 in words is "thirty-one billion, four hundred forty-four million, one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 7547 15094 19289 22641 30188 38578 45282 57867 60376 67923 77156 90564 115734 135846 154312 173601 181128 203769 231468 271692 347202 407538 462936 520803 543384 694404 815076 1041606 1388808 1630152 2083212 4166424 145574083 291148166 436722249 582296332 873444498 1164592664 1310166747 1746888996 2620333494 3493777992 3930500241 5240666988 7861000482 10481333976 15722000964 31444001928