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10004401200432 = 2431012367187179
BaseRepresentation
bin1001000110010101010011…
…0001111001110100110000
31022102102002220212101210210
42101211110301321310300
52302403003201403212
633135543010024120
72051536250052402
oct221452461716460
938372086771723
1010004401200432
11320792a733051
121156b05878040
13577545c1ba32
1426830387ab72
1512538651753c
hex91954c79d30

10004401200432 has 80 divisors (see below), whose sum is σ = 26101993294080. Its totient is φ = 3301605216000.

The previous prime is 10004401200397. The next prime is 10004401200461. The reversal of 10004401200432 is 23400210440001.

It is a junction number, because it is equal to n+sod(n) for n = 10004401200399 and 10004401200408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114713419 + ... + 114800597.

It is an arithmetic number, because the mean of its divisors is an integer number (326274916176).

Almost surely, 210004401200432 is an apocalyptic number.

10004401200432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10004401200432 is an abundant number, since it is smaller than the sum of its proper divisors (16097592093648).

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

10004401200432 is a wasteful number, since it uses less digits than its factorization.

10004401200432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110962 (or 110956 counting only the distinct ones).

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

Adding to 10004401200432 its reverse (23400210440001), we get a palindrome (33404611640433).

The spelling of 10004401200432 in words is "ten trillion, four billion, four hundred one million, two hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 4848 23671 47342 71013 87179 94684 142026 174358 189368 261537 284052 348716 378736 523074 568104 697432 1046148 1136208 1394864 2092296 2390771 4184592 4781542 7172313 8805079 9563084 14344626 17610158 19126168 26415237 28689252 35220316 38252336 52830474 57378504 70440632 105660948 114757008 140881264 211321896 422643792 2063614109 4127228218 6190842327 8254456436 12381684654 16508912872 24763369308 33017825744 49526738616 99053477232 208425025009 416850050018 625275075027 833700100036 1250550150054 1667400200072 2501100300108 3334800400144 5002200600216 10004401200432