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104404131120 = 2435717977557
BaseRepresentation
bin110000100111011111…
…0001001110100110000
3100222111002210101101010
41201032332021310300
53202304424143440
6115543530510520
710354142320632
oct1411676116460
9328432711333
10104404131120
1140306456a93
1218298895440
139acb08aba3
1450a5d32a52
152ab0bdc580
hex184ef89d30

104404131120 has 160 divisors (see below), whose sum is σ = 332370155520. Its totient is φ = 27101168640.

The previous prime is 104404131119. The next prime is 104404131131. The reversal of 104404131120 is 21131404401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1307382 + ... + 1384938.

It is an arithmetic number, because the mean of its divisors is an integer number (2077313472).

Almost surely, 2104404131120 is an apocalyptic number.

104404131120 is a gapful number since it is divisible by the number (10) 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 104404131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166185077760).

104404131120 is an abundant number, since it is smaller than the sum of its proper divisors (227966024400).

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

104404131120 is a wasteful number, since it uses less digits than its factorization.

104404131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77723 (or 77717 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 104404131120 its reverse (21131404401), we get a palindrome (125535535521).

The spelling of 104404131120 in words is "one hundred four billion, four hundred four million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 79 80 120 142 158 213 237 240 284 316 355 395 426 474 568 632 710 790 852 948 1065 1136 1185 1264 1420 1580 1704 1896 2130 2370 2840 3160 3408 3792 4260 4740 5609 5680 6320 8520 9480 11218 16827 17040 18960 22436 28045 33654 44872 56090 67308 77557 84135 89744 112180 134616 155114 168270 224360 232671 269232 310228 336540 387785 448720 465342 620456 673080 775570 930684 1163355 1240912 1346160 1551140 1861368 2326710 3102280 3722736 4653420 5506547 6127003 6204560 9306840 11013094 12254006 16519641 18381009 18613680 22026188 24508012 27532735 30635015 33039282 36762018 44052376 49016024 55065470 61270030 66078564 73524036 82598205 88104752 91905045 98032048 110130940 122540060 132157128 147048072 165196410 183810090 220261880 245080120 264314256 294096144 330392820 367620180 435017213 440523760 490160240 660785640 735240360 870034426 1305051639 1321571280 1470480720 1740068852 2175086065 2610103278 3480137704 4350172130 5220206556 6525258195 6960275408 8700344260 10440413112 13050516390 17400688520 20880826224 26101032780 34801377040 52202065560 104404131120