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40554305352 = 233211349146719
BaseRepresentation
bin100101110001001110…
…011001011101001000
310212200022002011111100
4211301032121131020
51131023400232402
630344055301400
72633654623251
oct456116313510
9125608064440
1040554305352
1116220936940
127a3967a860
133a93b6c5b2
141d6a05bb28
1510c54ca71c
hex971399748

40554305352 has 96 divisors (see below), whose sum is σ = 120163680000. Its totient is φ = 12253887360.

The previous prime is 40554305303. The next prime is 40554305371. The reversal of 40554305352 is 25350345504.

40554305352 is a `hidden beast` number, since 4 + 0 + 554 + 3 + 0 + 53 + 52 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203049 + ... + 349767.

It is an arithmetic number, because the mean of its divisors is an integer number (1251705000).

Almost surely, 240554305352 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 40554305352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60081840000).

40554305352 is an abundant number, since it is smaller than the sum of its proper divisors (79609374648).

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

40554305352 is a wasteful number, since it uses less digits than its factorization.

40554305352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147091 (or 147084 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

The spelling of 40554305352 in words is "forty billion, five hundred fifty-four million, three hundred five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 349 396 698 792 1047 1396 2094 2792 3141 3839 4188 6282 7678 8376 11517 12564 15356 23034 25128 30712 34551 46068 69102 92136 138204 146719 276408 293438 440157 586876 880314 1173752 1320471 1613909 1760628 2640942 3227818 3521256 4841727 5281884 6455636 9683454 10563768 12911272 14525181 19366908 29050362 38733816 51204931 58100724 102409862 116201448 153614793 204819724 307229586 409639448 460844379 563254241 614459172 921688758 1126508482 1228918344 1689762723 1843377516 2253016964 3379525446 3686755032 4506033928 5069288169 6759050892 10138576338 13518101784 20277152676 40554305352