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104004142440 = 233511731079329
BaseRepresentation
bin110000011011100100…
…0010100010101101000
3100221110020010212001120
41200313020110111220
53201000030024230
6115440121415240
710341214424112
oct1406710242550
9327406125046
10104004142440
1140120699630
12181a693a520
139a662517b3
145068b723b2
152a8aa2c310
hex1837214568

104004142440 has 128 divisors (see below), whose sum is σ = 345040214400. Its totient is φ = 24867717120.

The previous prime is 104004142421. The next prime is 104004142457. The reversal of 104004142440 is 44241400401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 104004142440.

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, 443305 + ... + 636024.

It is an arithmetic number, because the mean of its divisors is an integer number (2695626675).

Almost surely, 2104004142440 is an apocalyptic number.

104004142440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104004142440 is an abundant number, since it is smaller than the sum of its proper divisors (241036071960).

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

104004142440 is a wasteful number, since it uses less digits than its factorization.

104004142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079427 (or 1079423 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 104004142440 its reverse (44241400401), we get a palindrome (148245542841).

The spelling of 104004142440 in words is "one hundred four billion, four million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 73 88 110 120 132 146 165 219 220 264 292 330 365 438 440 584 660 730 803 876 1095 1320 1460 1606 1752 2190 2409 2920 3212 4015 4380 4818 6424 8030 8760 9636 12045 16060 19272 24090 32120 48180 96360 1079329 2158658 3237987 4317316 5396645 6475974 8634632 10793290 11872619 12951948 16189935 21586580 23745238 25903896 32379870 35617857 43173160 47490476 59363095 64759740 71235714 78791017 94980952 118726190 129519480 142471428 157582034 178089285 236373051 237452380 284942856 315164068 356178570 393955085 472746102 474904760 630328136 712357140 787910170 866701187 945492204 1181865255 1424714280 1575820340 1733402374 1890984408 2363730510 2600103561 3151640680 3466804748 4333505935 4727461020 5200207122 6933609496 8667011870 9454922040 10400414244 13000517805 17334023740 20800828488 26001035610 34668047480 52002071220 104004142440