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41402697984 = 283264327947
BaseRepresentation
bin100110100011110010…
…110000100100000000
310221212102110222101200
4212203302300210000
51134243042313414
631004203301200
72663666061204
oct464362604400
9127772428350
1041402697984
111661681a87a
12803581a800
133b9a86707b
14200a9c2b04
151124c11109
hex9a3cb0900

41402697984 has 108 divisors (see below), whose sum is σ = 119564115216. Its totient is φ = 13778942976.

The previous prime is 41402697977. The next prime is 41402698033. The reversal of 41402697984 is 48979620414.

It is a self number, because there is not a number n which added to its sum of digits gives 41402697984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1467499 + ... + 1495445.

Almost surely, 241402697984 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 41402697984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59782057608).

41402697984 is an abundant number, since it is smaller than the sum of its proper divisors (78161417232).

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

41402697984 is a wasteful number, since it uses less digits than its factorization.

41402697984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28612 (or 28595 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 41402697984 in words is "forty-one billion, four hundred two million, six hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 643 768 1152 1286 1929 2304 2572 3858 5144 5787 7716 10288 11574 15432 20576 23148 27947 30864 41152 46296 55894 61728 82304 83841 92592 111788 123456 164608 167682 185184 223576 246912 251523 335364 370368 447152 493824 503046 670728 740736 894304 1006092 1341456 1481472 1788608 2012184 2682912 3577216 4024368 5365824 7154432 8048736 10731648 16097472 17969921 21463296 32194944 35939842 53909763 64389888 71879684 107819526 143759368 161729289 215639052 287518736 323458578 431278104 575037472 646917156 862556208 1150074944 1293834312 1725112416 2300149888 2587668624 3450224832 4600299776 5175337248 6900449664 10350674496 13800899328 20701348992 41402697984