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104201304240 = 24351185945949
BaseRepresentation
bin110000100001011100…
…0011011100010110000
3100221221222010201012110
41201002320123202300
53201401013213430
6115511443325320
710346130320625
oct1410270334260
9327858121173
10104201304240
1140211a13170
1218240980840
139a98053c97
14508701634c
152a9cec57b0
hex1842e1b8b0

104201304240 has 160 divisors (see below), whose sum is σ = 352807776000. Its totient is φ = 25230965760.

The previous prime is 104201304227. The next prime is 104201304257. The reversal of 104201304240 is 42403102401.

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, 2244786 + ... + 2290734.

It is an arithmetic number, because the mean of its divisors is an integer number (2205048600).

Almost surely, 2104201304240 is an apocalyptic number.

104201304240 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 104201304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176403888000).

104201304240 is an abundant number, since it is smaller than the sum of its proper divisors (248606471760).

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

104201304240 is a wasteful number, since it uses less digits than its factorization.

104201304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46835 (or 46829 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 104201304240 its reverse (42403102401), we get a palindrome (146604406641).

The spelling of 104201304240 in words is "one hundred four billion, two hundred one million, three hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 859 880 1320 1718 2577 2640 3436 4295 5154 6872 8590 9449 10308 12885 13744 17180 18898 20616 25770 28347 34360 37796 41232 45949 47245 51540 56694 68720 75592 91898 94490 103080 113388 137847 141735 151184 183796 188980 206160 226776 229745 275694 283470 367592 377960 453552 459490 505439 551388 566940 689235 735184 755920 918980 1010878 1102776 1133880 1378470 1516317 1837960 2021756 2205552 2267760 2527195 2756940 3032634 3675920 4043512 5054390 5513880 6065268 7581585 8087024 10108780 11027760 12130536 15163170 20217560 24261072 30326340 39470191 40435120 60652680 78940382 118410573 121305360 157880764 197350955 236821146 315761528 394701910 434172101 473642292 592052865 631523056 789403820 868344202 947284584 1184105730 1302516303 1578807640 1736688404 1894569168 2170860505 2368211460 2605032606 3157615280 3473376808 4341721010 4736422920 5210065212 6512581515 6946753616 8683442020 9472845840 10420130424 13025163030 17366884040 20840260848 26050326060 34733768080 52100652120 104201304240