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142633631260050 = 23527625721710333
BaseRepresentation
bin100000011011100101111010…
…111011001001110110010010
3200201000122100000002110202120
4200123211322323021312102
5122143402134100310200
61223204552520555110
742020640230450040
oct4033457273116622
9621018300073676
10142633631260050
11414a1646439017
1213bb742a622a96
1361783a83a0b38
14273170c835390
151175364b499a0
hex81b97aec9d92

142633631260050 has 96 divisors (see below), whose sum is σ = 404329092031872. Its totient is φ = 32596760878080.

The previous prime is 142633631260013. The next prime is 142633631260051. The reversal of 142633631260050 is 50062136336241.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 142633631259984 and 142633631260011.

It is not an unprimeable number, because it can be changed into a prime (142633631260051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4285317 + ... + 17425016.

It is an arithmetic number, because the mean of its divisors is an integer number (4211761375332).

Almost surely, 2142633631260050 is an apocalyptic number.

142633631260050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142633631260050 is an abundant number, since it is smaller than the sum of its proper divisors (261695460771822).

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

142633631260050 is a wasteful number, since it uses less digits than its factorization.

142633631260050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21716612 (or 21716607 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

Adding to 142633631260050 its reverse (50062136336241), we get a palindrome (192695767596291).

The spelling of 142633631260050 in words is "one hundred forty-two trillion, six hundred thirty-three billion, six hundred thirty-one million, two hundred sixty thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1050 6257 12514 18771 31285 37542 43799 62570 87598 93855 131397 156425 187710 218995 262794 312850 437990 469275 656985 938550 1094975 1313970 2189950 3284925 6569850 21710333 43420666 65130999 108551665 130261998 151972331 217103330 303944662 325654995 455916993 542758325 651309990 759861655 911833986 1085516650 1519723310 1628274975 2279584965 3256549950 3799308275 4559169930 7598616550 11397924825 22795849650 135841553581 271683107162 407524660743 679207767905 815049321486 950890875067 1358415535810 1901781750134 2037623303715 2852672625201 3396038839525 4075246607430 4754454375335 5705345250402 6792077679050 9508908750670 10188116518575 14263363126005 20376233037150 23772271876675 28526726252010 47544543753350 71316815630025 142633631260050