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131414103330240 = 2635136889690969
BaseRepresentation
bin11101111000010100111010…
…111100101000110111000000
3122020022001202210220111021010
4131320110322330220313000
5114211042040423031430
61143254450004000520
736452232662532423
oct3570247274506700
9566261683814233
10131414103330240
113896645440a245
12128a4b25390140
1358433b2009483
14246469589b9ba
15102d5b094ccb0
hex77853af28dc0

131414103330240 has 56 divisors (see below), whose sum is σ = 417239778076560. Its totient is φ = 35043760887808.

The previous prime is 131414103330233. The next prime is 131414103330269. The reversal of 131414103330240 is 42033301414131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131414103330198 and 131414103330207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68444844525 + ... + 68444846444.

Almost surely, 2131414103330240 is an apocalyptic number.

131414103330240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131414103330240 is an abundant number, since it is smaller than the sum of its proper divisors (285825674746320).

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

131414103330240 is a wasteful number, since it uses less digits than its factorization.

131414103330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136889690989 (or 136889690979 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 131414103330240 its reverse (42033301414131), we get a palindrome (173447404744371).

The spelling of 131414103330240 in words is "one hundred thirty-one trillion, four hundred fourteen billion, one hundred three million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 136889690969 273779381938 410669072907 547558763876 684448454845 821338145814 1095117527752 1368896909690 1642676291628 2053345364535 2190235055504 2737793819380 3285352583256 4106690729070 4380470111008 5475587638760 6570705166512 8213381458140 8760940222016 10951175277520 13141410333024 16426762916280 21902350555040 26282820666048 32853525832560 43804701110080 65707051665120 131414103330240