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40089176232 = 23374316673329
BaseRepresentation
bin100101010101100000…
…000100100010101000
310211110212212011021220
4211111200010202220
51124100312114412
630230002102040
72616306242550
oct452540044250
9124425764256
1040089176232
1116002327506
12792994a920
133a1b6a6571
141d24382160
15109974e68c
hex9558048a8

40089176232 has 128 divisors (see below), whose sum is σ = 117309772800. Its totient is φ = 11177607168.

The previous prime is 40089176207. The next prime is 40089176243. The reversal of 40089176232 is 23267198004.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12040744 + ... + 12044072.

It is an arithmetic number, because the mean of its divisors is an integer number (916482600).

Almost surely, 240089176232 is an apocalyptic number.

40089176232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40089176232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58654886400).

40089176232 is an abundant number, since it is smaller than the sum of its proper divisors (77220596568).

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

40089176232 is a wasteful number, since it uses less digits than its factorization.

40089176232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 40089176232 in words is "forty billion, eighty-nine million, one hundred seventy-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1667 1806 2408 3329 3334 3612 5001 6658 6668 7224 9987 10002 11669 13316 13336 19974 20004 23303 23338 26632 35007 39948 40008 46606 46676 69909 70014 71681 79896 93212 93352 139818 140028 143147 143362 186424 215043 279636 280056 286294 286724 429441 430086 501767 559272 572588 573448 858882 860172 1002029 1003534 1145176 1505301 1717764 1720344 2004058 2007068 3006087 3010602 3435528 4008116 4014136 5549443 6012174 6021204 8016232 11098886 12024348 12042408 16648329 22197772 24048696 33296658 38846101 44395544 66593316 77692202 116538303 133186632 155384404 233076606 238626049 310768808 466153212 477252098 715878147 932306424 954504196 1431756294 1670382343 1909008392 2863512588 3340764686 5011147029 5727025176 6681529372 10022294058 13363058744 20044588116 40089176232