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131201321434440 = 23355476719963561
BaseRepresentation
bin11101110101001110110000…
…001010000111110101001000
3122012112201112200020020000120
4131311032300022013311020
5114144100301241400230
61143013015513303240
736430661024340165
oct3565166012076510
9565481480206016
10131201321434440
11388941935a15a4
121286b841104b20
13582930187115a
14245826bdc706c
151027caa2aa310
hex7753b0287d48

131201321434440 has 64 divisors (see below), whose sum is σ = 393611170901760. Its totient is φ = 34986378462720.

The previous prime is 131201321434397. The next prime is 131201321434481. The reversal of 131201321434440 is 44434123102131.

It is a happy number.

It is a super-2 number, since 2×1312013214344402 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3409741 + ... + 16553820.

It is an arithmetic number, because the mean of its divisors is an integer number (6150174545340).

Almost surely, 2131201321434440 is an apocalyptic number.

131201321434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201321434440 is an abundant number, since it is smaller than the sum of its proper divisors (262409849467320).

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

131201321434440 is a wasteful number, since it uses less digits than its factorization.

131201321434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20018342 (or 20018338 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 131201321434440 its reverse (44434123102131), we get a palindrome (175635444536571).

The spelling of 131201321434440 in words is "one hundred thirty-one trillion, two hundred one billion, three hundred twenty-one million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 54767 109534 164301 219068 273835 328602 438136 547670 657204 821505 1095340 1314408 1643010 2190680 3286020 6572040 19963561 39927122 59890683 79854244 99817805 119781366 159708488 199635610 239562732 299453415 399271220 479125464 598906830 798542440 1197813660 2395627320 1093344345287 2186688690574 3280033035861 4373377381148 5466721726435 6560066071722 8746754762296 10933443452870 13120132143444 16400165179305 21866886905740 26240264286888 32800330358610 43733773811480 65600660717220 131201321434440