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40407007368 = 233713113163729
BaseRepresentation
bin100101101000011100…
…100000000010001000
310212022000220122122110
4211220130200002020
51130223143213433
630321314222320
72630215616130
oct455034400210
9125260818573
1040407007368
111615577a772
1279b82849a0
133a6c4a8520
141d54677ac0
1510b75d1963
hex968720088

40407007368 has 128 divisors (see below), whose sum is σ = 125430278400. Its totient is φ = 10562420736.

The previous prime is 40407007357. The next prime is 40407007393. The reversal of 40407007368 is 86370070404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164928 + ... + 328656.

It is an arithmetic number, because the mean of its divisors is an integer number (979924050).

Almost surely, 240407007368 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 40407007368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62715139200).

40407007368 is an abundant number, since it is smaller than the sum of its proper divisors (85023271032).

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

40407007368 is a wasteful number, since it uses less digits than its factorization.

40407007368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163871 (or 163867 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 40407007368 in words is "forty billion, four hundred seven million, seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 113 156 168 182 226 273 312 339 364 452 546 678 728 791 904 1092 1356 1469 1582 2184 2373 2712 2938 3164 4407 4746 5876 6328 8814 9492 10283 11752 17628 18984 20566 30849 35256 41132 61698 82264 123396 163729 246792 327458 491187 654916 982374 1146103 1309832 1964748 2128477 2292206 3438309 3929496 4256954 4584412 6385431 6876618 8513908 9168824 12770862 13753236 14899339 17027816 18501377 25541724 27506472 29798678 37002754 44698017 51083448 55504131 59597356 74005508 89396034 111008262 119194712 129509639 148011016 178792068 222016524 240517901 259019278 357584136 388528917 444033048 481035802 518038556 721553703 777057834 962071604 1036077112 1443107406 1554115668 1683625307 1924143208 2886214812 3108231336 3367250614 5050875921 5772429624 6734501228 10101751842 13469002456 20203503684 40407007368