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40447276704 = 25322341148931
BaseRepresentation
bin100101101010110110…
…000111011010100000
310212101211200112210100
4211222312013122200
51130314000323304
630325313302400
72631215115342
oct455266073240
9125354615710
1040447276704
111617648470a
127a09864a00
133a77937833
141d59b5b292
1510badd8439
hex96ad876a0

40447276704 has 144 divisors (see below), whose sum is σ = 122951110464. Its totient is φ = 12581606400.

The previous prime is 40447276669. The next prime is 40447276711. The reversal of 40447276704 is 40767274404.

40447276704 is a `hidden beast` number, since 40 + 4 + 472 + 76 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×404472767042 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40447276704.

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, 197119 + ... + 346049.

It is an arithmetic number, because the mean of its divisors is an integer number (853827156).

Almost surely, 240447276704 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 40447276704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61475555232).

40447276704 is an abundant number, since it is smaller than the sum of its proper divisors (82503833760).

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

40447276704 is a wasteful number, since it uses less digits than its factorization.

40447276704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149011 (or 149000 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 45.

The spelling of 40447276704 in words is "forty billion, four hundred forty-seven million, two hundred seventy-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 41 46 48 69 72 82 92 96 123 138 144 164 184 207 246 276 288 328 368 369 414 492 552 656 736 738 828 943 984 1104 1312 1476 1656 1886 1968 2208 2829 2952 3312 3772 3936 5658 5904 6624 7544 8487 11316 11808 15088 16974 22632 30176 33948 45264 67896 90528 135792 148931 271584 297862 446793 595724 893586 1191448 1340379 1787172 2382896 2680758 3425413 3574344 4765792 5361516 6106171 6850826 7148688 10276239 10723032 12212342 13701652 14297376 18318513 20552478 21446064 24424684 27403304 30828717 36637026 41104956 42892128 48849368 54806608 54955539 61657434 73274052 82209912 97698736 109613216 109911078 123314868 140441933 146548104 164419824 195397472 219822156 246629736 280883866 293096208 328839648 421325799 439644312 493259472 561767732 586192416 842651598 879288624 986518944 1123535464 1263977397 1685303196 1758577248 2247070928 2527954794 3370606392 4494141856 5055909588 6741212784 10111819176 13482425568 20223638352 40447276704