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41104041024 = 263359691863
BaseRepresentation
bin100110010001111111…
…011110010001000000
310221002121111122001210
4212101333132101000
51133140113303044
630514414130120
72653411404204
oct462177362100
9127077448053
1041104041024
1116483183442
127b717b0940
133b50a19687
141dbd07cb04
1511088ba1b9
hex991fde440

41104041024 has 112 divisors (see below), whose sum is σ = 109341757440. Its totient is φ = 13627599360.

The previous prime is 41104041023. The next prime is 41104041031. The reversal of 41104041024 is 42014040114.

It is not an unprimeable number, because it can be changed into a prime (41104041023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 47628817 + ... + 47629679.

Almost surely, 241104041024 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 41104041024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54670878720).

41104041024 is an abundant number, since it is smaller than the sum of its proper divisors (68237716416).

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

41104041024 is a wasteful number, since it uses less digits than its factorization.

41104041024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 41104041024 its reverse (42014040114), we get a palindrome (83118081138).

The spelling of 41104041024 in words is "forty-one billion, one hundred four million, forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 359 691 718 863 1077 1382 1436 1726 2073 2154 2589 2764 2872 3452 4146 4308 5178 5528 5744 6904 8292 8616 10356 11056 11488 13808 16584 17232 20712 22112 22976 27616 33168 34464 41424 44224 55232 66336 68928 82848 132672 165696 248069 309817 496138 596333 619634 744207 929451 992276 1192666 1239268 1488414 1788999 1858902 1984552 2385332 2478536 2976828 3577998 3717804 3969104 4770664 4957072 5953656 7155996 7435608 7938208 9541328 9914144 11907312 14311992 14871216 15876416 19082656 19828288 23814624 28623984 29742432 38165312 47629248 57247968 59484864 114495936 214083547 428167094 642250641 856334188 1284501282 1712668376 2569002564 3425336752 5138005128 6850673504 10276010256 13701347008 20552020512 41104041024