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131343223414320 = 243556756338653
BaseRepresentation
bin11101110111010010111010…
…001011001101111000110000
3122020001021211001211200200000
4131313102322023031320300
5114203411410143224240
61143202124401230000
736444143342303301
oct3567227213157060
9566037731750600
10131343223414320
1138939391563335
1212893243932300
1358397c74aac18
1424610900767a8
15102b812e7b430
hex7774ba2cde30

131343223414320 has 120 divisors (see below), whose sum is σ = 457431152230416. Its totient is φ = 35024859571968.

The previous prime is 131343223414307. The next prime is 131343223414379. The reversal of 131343223414320 is 23414322343131.

131343223414320 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 322 + 3 + 4 + 1 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3378149887 + ... + 3378188766.

Almost surely, 2131343223414320 is an apocalyptic number.

131343223414320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131343223414320 is an abundant number, since it is smaller than the sum of its proper divisors (326087928816096).

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

131343223414320 is an equidigital number, since it uses as much as digits as its factorization.

131343223414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6756338681 (or 6756338663 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 131343223414320 its reverse (23414322343131), we get a palindrome (154757545757451).

The spelling of 131343223414320 in words is "one hundred thirty-one trillion, three hundred forty-three billion, two hundred twenty-three million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 6756338653 13512677306 20269015959 27025354612 33781693265 40538031918 54050709224 60807047877 67563386530 81076063836 101345079795 108101418448 121614095754 135126773060 162152127672 182421143631 202690159590 243228191508 270253546120 304035239385 324304255344 364842287262 405380319180 486456383016 540507092240 547263430893 608070478770 729684574524 810760638360 912105718155 972912766032 1094526861786 1216140957540 1459369149048 1621521276720 1641790292679 1824211436310 2189053723572 2432281915080 2736317154465 2918738298096 3283580585358 3648422872620 4378107447144 4864563830160 5472634308930 6567161170716 7296845745240 8208951463395 8756214894288 10945268617860 13134322341432 14593691490480 16417902926790 21890537235720 26268644682864 32835805853580 43781074471440 65671611707160 131343223414320