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104211143424 = 2832109414959
BaseRepresentation
bin110000100001101110…
…1111101101100000000
3100221222122122121000200
41201003131331230000
53201411023042144
6115512434245200
710346310050403
oct1410335755400
9327878577020
10104211143424
1140217523523
1218244126800
139a9a0ba59b
145088457d3a
152a9dcbac69
hex184377db00

104211143424 has 108 divisors (see below), whose sum is σ = 303223720800. Its totient is φ = 34418276352.

The previous prime is 104211143389. The next prime is 104211143483. The reversal of 104211143424 is 424341112401.

104211143424 is a `hidden beast` number, since 10 + 4 + 211 + 1 + 434 + 2 + 4 = 666.

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, 43657 + ... + 458615.

Almost surely, 2104211143424 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 104211143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151611860400).

104211143424 is an abundant number, since it is smaller than the sum of its proper divisors (199012577376).

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

104211143424 is a wasteful number, since it uses less digits than its factorization.

104211143424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415090 (or 415073 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 104211143424 its reverse (424341112401), we get a palindrome (528552255825).

The spelling of 104211143424 in words is "one hundred four billion, two hundred eleven million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 109 128 144 192 218 256 288 327 384 436 576 654 768 872 981 1152 1308 1744 1962 2304 2616 3488 3924 5232 6976 7848 10464 13952 15696 20928 27904 31392 41856 62784 83712 125568 251136 414959 829918 1244877 1659836 2489754 3319672 3734631 4979508 6639344 7469262 9959016 13278688 14938524 19918032 26557376 29877048 39836064 45230531 53114752 59754096 79672128 90461062 106229504 119508192 135691593 159344256 180922124 239016384 271383186 318688512 361844248 407074779 478032768 542766372 723688496 814149558 956065536 1085532744 1447376992 1628299116 2171065488 2894753984 3256598232 4342130976 5789507968 6513196464 8684261952 11579015936 13026392928 17368523904 26052785856 34737047808 52105571712 104211143424