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10141412413224 = 2332381122653667
BaseRepresentation
bin1001001110010011101101…
…0010001100111100101000
31022220111202110122011021110
42103210323102030330220
52312124103034210344
633322522303510320
72064456440126361
oct223447322147450
938814673564243
1010141412413224
11325aa48a15114
1211795825b83a0
1358743c524091
14270bc0180b68
15128c04b5c3b9
hex9393b48cf28

10141412413224 has 64 divisors (see below), whose sum is σ = 26488480919040. Its totient is φ = 3229506624960.

The previous prime is 10141412413211. The next prime is 10141412413267. The reversal of 10141412413224 is 42231421414101.

It is a junction number, because it is equal to n+sod(n) for n = 10141412413191 and 10141412413200.

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, 10879162 + ... + 11774505.

It is an arithmetic number, because the mean of its divisors is an integer number (413882514360).

Almost surely, 210141412413224 is an apocalyptic number.

It is an amenable number.

10141412413224 is an abundant number, since it is smaller than the sum of its proper divisors (16347068505816).

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

10141412413224 is a wasteful number, since it uses less digits than its factorization.

10141412413224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22654510 (or 22654506 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 10141412413224 its reverse (42231421414101), we get a palindrome (52372833827325).

The spelling of 10141412413224 in words is "ten trillion, one hundred forty-one billion, four hundred twelve million, four hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 811 1622 2433 3244 4866 6488 9732 18653 19464 37306 55959 74612 111918 149224 223836 447672 22653667 45307334 67961001 90614668 135922002 181229336 271844004 521034341 543688008 1042068682 1563103023 2084137364 3126206046 4168274728 6252412092 12504824184 18372123937 36744247874 55116371811 73488495748 110232743622 146976991496 220465487244 422558850551 440930974488 845117701102 1267676551653 1690235402204 2535353103306 3380470804408 5070706206612 10141412413224