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131344034140 = 225112325957319
BaseRepresentation
bin111101001010010110…
…1101110100101011100
3110120000120222020212001
41322110231232211130
54122443033043030
6140201050252044
712326553604144
oct1722455564534
9416016866761
10131344034140
1150780312950
1221556a27024
13c5024895c7
1464ddbad924
15363ad50cca
hex1e94b6e95c

131344034140 has 48 divisors (see below), whose sum is σ = 313979742720. Its totient is φ = 45684879680.

The previous prime is 131344034113. The next prime is 131344034149. The reversal of 131344034140 is 41430443131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131344034099 and 131344034108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131344034149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12973600 + ... + 12983719.

It is an arithmetic number, because the mean of its divisors is an integer number (6541244640).

Almost surely, 2131344034140 is an apocalyptic number.

131344034140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131344034140 is an abundant number, since it is smaller than the sum of its proper divisors (182635708580).

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

131344034140 is a wasteful number, since it uses less digits than its factorization.

131344034140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25957362 (or 25957360 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 131344034140 its reverse (41430443131), we get a palindrome (172774477271).

The spelling of 131344034140 in words is "one hundred thirty-one billion, three hundred forty-four million, thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 25957319 51914638 103829276 129786595 259573190 285530509 519146380 571061018 597018337 1142122036 1194036674 1427652545 2388073348 2855305090 2985091685 5710610180 5970183370 6567201707 11940366740 13134403414 26268806828 32836008535 65672017070 131344034140