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40399924608 = 273347248719
BaseRepresentation
bin100101101000000001…
…011110110110000000
310212021112120210221000
4211220001132312000
51130214340041413
630320502332000
72630101456521
oct455001366600
9125245523830
1040399924608
111615178234a
1279b5a2a000
133a6ab98744
141d53752848
1510b6b83073
hex96805ed80

40399924608 has 128 divisors (see below), whose sum is σ = 121773312000. Its totient is φ = 13180064256.

The previous prime is 40399924597. The next prime is 40399924673. The reversal of 40399924608 is 80642999304.

40399924608 is a `hidden beast` number, since 4 + 0 + 3 + 9 + 9 + 9 + 24 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 38073 + ... + 286791.

It is an arithmetic number, because the mean of its divisors is an integer number (951354000).

Almost surely, 240399924608 is an apocalyptic number.

40399924608 is a gapful number since it is divisible by the number (48) 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 40399924608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60886656000).

40399924608 is an abundant number, since it is smaller than the sum of its proper divisors (81373387392).

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

40399924608 is a wasteful number, since it uses less digits than its factorization.

40399924608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248789 (or 248771 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 40399924608 in words is "forty billion, three hundred ninety-nine million, nine hundred twenty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 128 141 144 188 192 216 282 288 376 384 423 432 564 576 752 846 864 1128 1152 1269 1504 1692 1728 2256 2538 3008 3384 3456 4512 5076 6016 6768 9024 10152 13536 18048 20304 27072 40608 54144 81216 162432 248719 497438 746157 994876 1492314 1989752 2238471 2984628 3979504 4476942 5969256 6715413 7959008 8953884 11689793 11938512 13430826 15918016 17907768 23379586 23877024 26861652 31836032 35069379 35815536 46759172 47754048 53723304 70138758 71631072 93518344 95508096 105208137 107446608 140277516 143262144 187036688 210416274 214893216 280555032 286524288 315624411 374073376 420832548 429786432 561110064 631248822 748146752 841665096 859572864 1122220128 1262497644 1496293504 1683330192 2244440256 2524995288 3366660384 4488880512 5049990576 6733320768 10099981152 13466641536 20199962304 40399924608