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131345425332324 = 223275367146778937
BaseRepresentation
bin11101110111010100111101…
…011010110111100001100100
3122020001111111112010201022200
4131313110331122313201210
5114203430412341113244
61143203131100054500
736444252040301310
oct3567247532674144
9566044445121280
10131345425332324
113893a311482985
1212893759234430
135839a88731598
14246121c692b40
15102b8e1426669
hex77753d6b7864

131345425332324 has 144 divisors (see below), whose sum is σ = 392371805524608. Its totient is φ = 36269662201344.

The previous prime is 131345425332293. The next prime is 131345425332367. The reversal of 131345425332324 is 423233524543131.

131345425332324 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 54 + 253 + 323 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 131345425332324.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72494617 + ... + 74284320.

It is an arithmetic number, because the mean of its divisors is an integer number (2724804205032).

Almost surely, 2131345425332324 is an apocalyptic number.

131345425332324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131345425332324 is an abundant number, since it is smaller than the sum of its proper divisors (261026380192284).

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

131345425332324 is a wasteful number, since it uses less digits than its factorization.

131345425332324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146779074 (or 146779069 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 45.

Adding to 131345425332324 its reverse (423233524543131), we get a palindrome (554578949875455).

The spelling of 131345425332324 in words is "one hundred thirty-one trillion, three hundred forty-five billion, four hundred twenty-five million, three hundred thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 67 84 106 126 134 159 201 212 252 268 318 371 402 469 477 603 636 742 804 938 954 1113 1206 1407 1484 1876 1908 2226 2412 2814 3339 3551 4221 4452 5628 6678 7102 8442 10653 13356 14204 16884 21306 24857 31959 42612 49714 63918 74571 99428 127836 149142 223713 298284 447426 894852 146778937 293557874 440336811 587115748 880673622 1027452559 1321010433 1761347244 2054905118 2642020866 3082357677 4109810236 5284041732 6164715354 7779283661 9247073031 9834188779 12329430708 15558567322 18494146062 19668377558 23337850983 29502566337 31117134644 36988292124 39336755116 46675701966 54454985627 59005132674 68839321453 70013552949 88507699011 93351403932 108909971254 118010265348 137678642906 140027105898 163364956881 177015398022 206517964359 217819942508 275357285812 280054211796 326729913762 354030796044 413035928718 490094870643 521212005287 619553893077 653459827524 826071857436 980189741286 1042424010574 1239107786154 1563636015861 1960379482572 2084848021148 2478215572308 3127272031722 3648484037009 4690908047583 6254544063444 7296968074018 9381816095166 10945452111027 14593936148036 18763632190332 21890904222054 32836356333081 43781808444108 65672712666162 131345425332324