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31226954440 = 23511359197689
BaseRepresentation
bin11101000101010001…
…011000001011001000
32222121021000122110011
4131011101120023020
51002423100020230
622202342001304
72153555506333
oct350521301310
988537018404
1031226954440
1112274890070
126075a16234
132c38636246
14172339361a
15c2b6dae2a
hex7454582c8

31226954440 has 64 divisors (see below), whose sum is σ = 76861872000. Its totient is φ = 11323568640.

The previous prime is 31226954419. The next prime is 31226954501. The reversal of 31226954440 is 4445962213.

It is a happy number.

It is a super-3 number, since 3×312269544403 (a number of 32 digits) contains 333 as substring.

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 = 31226954393 and 31226954402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59116 + ... + 256804.

It is an arithmetic number, because the mean of its divisors is an integer number (1200966750).

Almost surely, 231226954440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31226954440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38430936000).

31226954440 is an abundant number, since it is smaller than the sum of its proper divisors (45634917560).

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

31226954440 is a wasteful number, since it uses less digits than its factorization.

31226954440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198070 (or 198066 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 31226954440 in words is "thirty-one billion, two hundred twenty-six million, nine hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 359 440 718 1436 1795 2872 3590 3949 7180 7898 14360 15796 19745 31592 39490 78980 157960 197689 395378 790756 988445 1581512 1976890 2174579 3953780 4349158 7907560 8698316 10872895 17396632 21745790 43491580 70970351 86983160 141940702 283881404 354851755 567762808 709703510 780673861 1419407020 1561347722 2838814040 3122695444 3903369305 6245390888 7806738610 15613477220 31226954440