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104232402200400 = 24352129167281437
BaseRepresentation
bin10111101100110001111111…
…010011101010011101010000
3111200001112001022202020112120
4113230301333103222131100
5102130220424430403100
61005403412102254240
730645354044231055
oct2754617723523520
9450045038666476
10104232402200400
1130236793788761
12b834b30727380
1346210c5201c96
141ba4c3771102c
15c0b4cd6860a0
hex5ecc7f4ea750

104232402200400 has 120 divisors (see below), whose sum is σ = 334149763192224. Its totient is φ = 27773776780800.

The previous prime is 104232402200287. The next prime is 104232402200401. The reversal of 104232402200400 is 4002204232401.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104232402200401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32091519 + ... + 35189918.

Almost surely, 2104232402200400 is an apocalyptic number.

104232402200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104232402200400 is an abundant number, since it is smaller than the sum of its proper divisors (229917360991824).

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

104232402200400 is a wasteful number, since it uses less digits than its factorization.

104232402200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67282749 (or 67282738 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 104232402200400 its reverse (4002204232401), we get a palindrome (108234606432801).

The spelling of 104232402200400 in words is "one hundred four trillion, two hundred thirty-two billion, four hundred two million, two hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1291 2582 3873 5164 6455 7746 10328 12910 15492 19365 20656 25820 30984 32275 38730 51640 61968 64550 77460 96825 103280 129100 154920 193650 258200 309840 387300 516400 774600 1549200 67281437 134562874 201844311 269125748 336407185 403688622 538251496 672814370 807377244 1009221555 1076502992 1345628740 1614754488 1682035925 2018443110 2691257480 3229508976 3364071850 4036886220 5046107775 5382514960 6728143700 8073772440 10092215550 13456287400 16147544880 20184431100 26912574800 40368862200 80737724400 86860335167 173720670334 260581005501 347441340668 434301675835 521162011002 694882681336 868603351670 1042324022004 1302905027505 1389765362672 1737206703340 2084648044008 2171508379175 2605810055010 3474413406680 4169296088016 4343016758350 5211620110020 6514525137525 6948826813360 8686033516700 10423240220040 13029050275050 17372067033400 20846480440080 26058100550100 34744134066800 52116201100200 104232402200400