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481040341056 = 26331125307257
BaseRepresentation
bin1110000000000000011…
…11010001100001000000
31200222122112021020122000
413000000033101201000
530340132311403211
61004553055544000
746516425301632
oct7000017214100
91628575236560
10481040341056
1117600a806080
127928b52b000
1336492166182
14193d518aa52
15c7a63b6656
hex70003d1840

481040341056 has 112 divisors (see below), whose sum is σ = 1542730447680. Its totient is φ = 145769794560.

The previous prime is 481040341037. The next prime is 481040341079. The reversal of 481040341056 is 650143040184.

481040341056 is a `hidden beast` number, since 481 + 0 + 40 + 34 + 105 + 6 = 666.

It is a super-3 number, since 3×4810403410563 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 481040341056.

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 15 ways as a sum of consecutive naturals, for example, 12634621 + ... + 12672636.

Almost surely, 2481040341056 is an apocalyptic number.

It is an amenable number.

481040341056 is an abundant number, since it is smaller than the sum of its proper divisors (1061690106624).

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

481040341056 is a wasteful number, since it uses less digits than its factorization.

481040341056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25307289 (or 25307273 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 481040341056 in words is "four hundred eighty-one billion, forty million, three hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 25307257 50614514 75921771 101229028 151843542 202458056 227765313 278379827 303687084 404916112 455530626 556759654 607374168 683295939 809832224 835139481 911061252 1113519308 1214748336 1366591878 1619664448 1670278962 1822122504 2227038616 2429496672 2505418443 2733183756 3340557924 3644245008 4454077232 4858993344 5010836886 5466367512 6681115848 7288490016 7516255329 8908154464 10021673772 10932735024 13362231696 14576980032 15032510658 17816308928 20043347544 21865470048 26724463392 30065021316 40086695088 43730940096 53448926784 60130042632 80173390176 120260085264 160346780352 240520170528 481040341056