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40383158328 = 23328916133907
BaseRepresentation
bin100101100111000001…
…100001100000111000
310212020101000222220200
4211213001201200320
51130201042031303
630315103122200
72626506116322
oct454701414070
9125211028820
1040383158328
1116143270617
1279b02a3360
133a67578176
141d5142a612
1510b54703a3
hex967061838

40383158328 has 96 divisors (see below), whose sum is σ = 110696835600. Its totient is φ = 13298148864.

The previous prime is 40383158303. The next prime is 40383158371. The reversal of 40383158328 is 82385138304.

40383158328 is a `hidden beast` number, since 4 + 0 + 3 + 8 + 315 + 8 + 328 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10334151 + ... + 10338057.

Almost surely, 240383158328 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 40383158328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55348417800).

40383158328 is an abundant number, since it is smaller than the sum of its proper divisors (70313677272).

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

40383158328 is a wasteful number, since it uses less digits than its factorization.

40383158328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5621 (or 5614 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 40383158328 in words is "forty billion, three hundred eighty-three million, one hundred fifty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 1613 2136 3204 3226 3907 4839 6408 6452 7814 9678 11721 12904 14517 15628 19356 23442 29034 31256 35163 38712 46884 58068 70326 93768 116136 140652 143557 281304 287114 347723 430671 574228 695446 861342 1043169 1148456 1292013 1390892 1722684 2086338 2584026 2781784 3129507 3445368 4172676 5168052 6259014 6301991 8345352 10336104 12518028 12603982 18905973 25036056 25207964 37811946 50415928 56717919 75623892 113435838 151247784 226871676 453743352 560877199 1121754398 1682631597 2243508796 3365263194 4487017592 5047894791 6730526388 10095789582 13461052776 20191579164 40383158328