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131441245470 = 232510115539311
BaseRepresentation
bin111101001101010000…
…0100011110100011110
3110120021100220002201200
41322122200203310132
54123142424323340
6140214442020330
712332144103123
oct1723240436436
9416240802650
10131441245470
115082017a197
12215834a76a6
13c5196649c2
14650ca7674a
153644654330
hex1e9a823d1e

131441245470 has 96 divisors (see below), whose sum is σ = 345390200064. Its totient is φ = 34677888000.

The previous prime is 131441245427. The next prime is 131441245471. The reversal of 131441245470 is 74542144131.

131441245470 is a `hidden beast` number, since 1 + 3 + 144 + 1 + 2 + 45 + 470 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131441245471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14112115 + ... + 14121425.

It is an arithmetic number, because the mean of its divisors is an integer number (3597814584).

Almost surely, 2131441245470 is an apocalyptic number.

131441245470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131441245470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172695100032).

131441245470 is an abundant number, since it is smaller than the sum of its proper divisors (213948954594).

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

131441245470 is a wasteful number, since it uses less digits than its factorization.

131441245470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10978 (or 10975 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 131441245470 in words is "one hundred thirty-one billion, four hundred forty-one million, two hundred forty-five thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1553 1818 3030 3106 4545 4659 7765 9090 9311 9318 13977 15530 18622 23295 27933 27954 46555 46590 55866 69885 83799 93110 139665 139770 156853 167598 279330 313706 418995 470559 784265 837990 940411 941118 1411677 1568530 1880822 2352795 2821233 2823354 4702055 4705590 5642466 7058385 8463699 9404110 14106165 14116770 14459983 16927398 28212330 28919966 42318495 43379949 72299915 84636990 86759898 130139847 144599830 216899745 260279694 433799490 650699235 1301398470 1460458283 2920916566 4381374849 7302291415 8762749698 13144124547 14604582830 21906874245 26288249094 43813748490 65720622735 131441245470