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131442133132224 = 26321140772000387
BaseRepresentation
bin11101111000101111000001…
…101001110110001111000000
3122020101202010020220222001100
4131320233001221312033000
5114212021442040212344
61143315403215534400
736454244410111635
oct3570570151661700
9566352106828040
10131442133132224
1138977328511352
12128aa44852a400
135845c2b160015
142465b943a818c
15102e1a15ee569
hex778bc1a763c0

131442133132224 has 84 divisors (see below), whose sum is σ = 376758632997864. Its totient is φ = 43813638400512.

The previous prime is 131442133132217. The next prime is 131442133132249. The reversal of 131442133132224 is 422231331244131.

131442133132224 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 421 + 3 + 3 + 1 + 3 + 2 + 224 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64708159 + ... + 66708545.

Almost surely, 2131442133132224 is an apocalyptic number.

It is an amenable number.

131442133132224 is an abundant number, since it is smaller than the sum of its proper divisors (245316499865640).

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

131442133132224 is a wasteful number, since it uses less digits than its factorization.

131442133132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114482 (or 2114469 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 131442133132224 its reverse (422231331244131), we get a palindrome (553673464376355).

The spelling of 131442133132224 in words is "one hundred thirty-one trillion, four hundred forty-two billion, one hundred thirty-three million, one hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 114077 228154 342231 456308 684462 912616 1026693 1368924 1825232 2000387 2053386 2737848 3650464 4000774 4106772 5475696 6001161 7300928 8001548 8213544 10951392 12002322 16003096 16427088 18003483 21902784 24004644 32006192 32854176 36006966 48009288 64012384 65708352 72013932 96018576 128024768 144027864 192037152 288055728 384074304 576111456 1152222912 228198147799 456396295598 684594443397 912792591196 1369188886794 1825585182392 2053783330191 2738377773588 3651170364784 4107566660382 5476755547176 7302340729568 8215133320764 10953511094352 14604681459136 16430266641528 21907022188704 32860533283056 43814044377408 65721066566112 131442133132224