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104043310416 = 24322338382021
BaseRepresentation
bin110000011100101110…
…1101110110101010000
3100221112221211210102100
41200321131232311100
53201040041413131
6115444041120400
710342201355343
oct1407135566520
9327487753370
10104043310416
1140140811061
12181b7a89100
139a713b6706
14507004a45a
152a8e1b77e6
hex183976ed50

104043310416 has 120 divisors (see below), whose sum is σ = 304633645056. Its totient is φ = 33086211840.

The previous prime is 104043310313. The next prime is 104043310417. The reversal of 104043310416 is 614013340401.

It is a self number, because there is not a number n which added to its sum of digits gives 104043310416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104043310417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1227486 + ... + 1309506.

Almost surely, 2104043310416 is an apocalyptic number.

104043310416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104043310416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152316822528).

104043310416 is an abundant number, since it is smaller than the sum of its proper divisors (200590334640).

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

104043310416 is a wasteful number, since it uses less digits than its factorization.

104043310416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82441 (or 82432 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 104043310416 its reverse (614013340401), we get a palindrome (718056650817).

The spelling of 104043310416 in words is "one hundred four billion, forty-three million, three hundred ten thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 383 414 552 766 828 1104 1149 1532 1656 2298 3064 3312 3447 4596 6128 6894 8809 9192 13788 17618 18384 26427 27576 35236 52854 55152 70472 79281 82021 105708 140944 158562 164042 211416 246063 317124 328084 422832 492126 634248 656168 738189 984252 1268496 1312336 1476378 1886483 1968504 2952756 3772966 3937008 5659449 5905512 7545932 11318898 11811024 15091864 16978347 22637796 30183728 31414043 33956694 45275592 62828086 67913388 90551184 94242129 125656172 135826776 188484258 251312344 271653552 282726387 376968516 502624688 565452774 722522989 753937032 1130905548 1445045978 1507874064 2167568967 2261811096 2890091956 4335137934 4523622192 5780183912 6502706901 8670275868 11560367824 13005413802 17340551736 26010827604 34681103472 52021655208 104043310416