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41342655456 = 25321229116803
BaseRepresentation
bin100110100000001101…
…101101101111100000
310221201020111111112100
4212200031231233200
51134132204433311
630554220330400
72662336526124
oct464015555740
9127636444470
1041342655456
111659593aa53
1280196a3a00
133b8b2a394b
142002a33584
15111e800a56
hex9a036dbe0

41342655456 has 72 divisors (see below), whose sum is σ = 117664845480. Its totient is φ = 13769554176.

The previous prime is 41342655443. The next prime is 41342655463. The reversal of 41342655456 is 65455624314.

41342655456 is a `hidden beast` number, since 4 + 1 + 3 + 42 + 6 + 554 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 295551 + ... + 412353.

It is an arithmetic number, because the mean of its divisors is an integer number (1634233965).

Almost surely, 241342655456 is an apocalyptic number.

It is an amenable number.

41342655456 is an abundant number, since it is smaller than the sum of its proper divisors (76322190024).

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

41342655456 is a wasteful number, since it uses less digits than its factorization.

41342655456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118048 (or 118037 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 41342655456 in words is "forty-one billion, three hundred forty-two million, six hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1229 2458 3687 4916 7374 9832 11061 14748 19664 22122 29496 39328 44244 58992 88488 116803 117984 176976 233606 350409 353952 467212 700818 934424 1051227 1401636 1868848 2102454 2803272 3737696 4204908 5606544 8409816 11213088 16819632 33639264 143550887 287101774 430652661 574203548 861305322 1148407096 1291957983 1722610644 2296814192 2583915966 3445221288 4593628384 5167831932 6890442576 10335663864 13780885152 20671327728 41342655456