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10141210143144 = 233415650015653
BaseRepresentation
bin1001001110010010111100…
…1110100110100110101000
31022220111020101000202220000
42103210233032212212220
52312123144244040034
633322450240303000
72064451432635603
oct223445716464650
938814211022800
1010141210143144
11325a954821663
121179526911a60
13587409653742
14270ba136b33a
15128be2005599
hex9392f3a69a8

10141210143144 has 40 divisors (see below), whose sum is σ = 28404778412010. Its totient is φ = 3380403380832.

The previous prime is 10141210143143. The next prime is 10141210143221. The reversal of 10141210143144 is 44134101214101.

10141210143144 is a `hidden beast` number, since 1 + 0 + 1 + 412 + 101 + 4 + 3 + 144 = 666.

10141210143144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8114464988100 + 2026745155044 = 2848590^2 + 1423638^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10141210143143) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7825007179 + ... + 7825008474.

Almost surely, 210141210143144 is an apocalyptic number.

It is an amenable number.

10141210143144 is an abundant number, since it is smaller than the sum of its proper divisors (18263568268866).

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

10141210143144 is a wasteful number, since it uses less digits than its factorization.

10141210143144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15650015671 (or 15650015658 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 10141210143144 its reverse (44134101214101), we get a palindrome (54275311357245).

The spelling of 10141210143144 in words is "ten trillion, one hundred forty-one billion, two hundred ten million, one hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 15650015653 31300031306 46950046959 62600062612 93900093918 125200125224 140850140877 187800187836 281700281754 375600375672 422550422631 563400563508 845100845262 1126801127016 1267651267893 1690201690524 2535302535786 3380403381048 5070605071572 10141210143144