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40112223132 = 223294713991753
BaseRepresentation
bin100101010110110111…
…111111001110011100
310211112111020001200210
4211112313333032130
51124122212120012
630232144052420
72620006161642
oct452667771634
9124474201623
1040112223132
1116014338a33
127935604110
133a233b5797
141d27461192
15109b7a323c
hex956dff39c

40112223132 has 96 divisors (see below), whose sum is σ = 99009792000. Its totient is φ = 12618772992.

The previous prime is 40112223121. The next prime is 40112223139. The reversal of 40112223132 is 23132221104.

It is a junction number, because it is equal to n+sod(n) for n = 40112223099 and 40112223108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40112223139) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 22881168 + ... + 22882920.

It is an arithmetic number, because the mean of its divisors is an integer number (1031352000).

Almost surely, 240112223132 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 40112223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49504896000).

40112223132 is an abundant number, since it is smaller than the sum of its proper divisors (58897568868).

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

40112223132 is a wasteful number, since it uses less digits than its factorization.

40112223132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3235 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 40112223132 its reverse (23132221104), we get a palindrome (63244444236).

The spelling of 40112223132 in words is "forty billion, one hundred twelve million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 47 58 87 94 116 141 174 188 282 348 564 1363 1399 1753 2726 2798 3506 4089 4197 5259 5452 5596 7012 8178 8394 10518 16356 16788 21036 40571 50837 65753 81142 82391 101674 121713 131506 152511 162284 164782 197259 203348 243426 247173 263012 305022 329564 394518 486852 494346 610044 789036 988692 1906837 2389339 2452447 3813674 4778678 4904894 5720511 7168017 7357341 7627348 9557356 9809788 11441022 14336034 14714682 22882044 28672068 29429364 71120963 115265009 142241926 213362889 230530018 284483852 345795027 426725778 461060036 691590054 853451556 1383180108 3342685261 6685370522 10028055783 13370741044 20056111566 40112223132