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243120400014 = 233741591393257
BaseRepresentation
bin1110001001101100011…
…0101110011010001110
3212020112110220222002210
43202123012232122032
512440402310300024
6303404333531250
723364515205642
oct3423306563216
9766473828083
10243120400014
119411a144a28
123b150643b26
1319c069bcc7b
14baa4c76c22
1564cdd84129
hex389b1ae68e

243120400014 has 128 divisors (see below), whose sum is σ = 524136614400. Its totient is φ = 75055749120.

The previous prime is 243120400009. The next prime is 243120400031. The reversal of 243120400014 is 410004021342.

It is a super-3 number, since 3×2431204000143 (a number of 35 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74643874 + ... + 74647130.

It is an arithmetic number, because the mean of its divisors is an integer number (4094817300).

Almost surely, 2243120400014 is an apocalyptic number.

243120400014 is an abundant number, since it is smaller than the sum of its proper divisors (281016214386).

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

243120400014 is a wasteful number, since it uses less digits than its factorization.

243120400014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3538.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 243120400014 its reverse (410004021342), we get a palindrome (653124421356).

The spelling of 243120400014 in words is "two hundred forty-three billion, one hundred twenty million, four hundred thousand, fourteen".

Divisors: 1 2 3 6 37 41 59 74 82 111 118 123 139 177 222 246 278 354 417 834 1517 2183 2419 3034 3257 4366 4551 4838 5143 5699 6514 6549 7257 8201 9102 9771 10286 11398 13098 14514 15429 16402 17097 19542 24603 30858 34194 49206 89503 120509 133537 179006 192163 210863 241018 267074 268509 303437 336241 361527 384326 400611 421726 452723 537018 576489 606874 632589 672482 723054 801222 905446 910311 1008723 1152978 1265178 1358169 1820622 2017446 2716338 4940869 7110031 7878683 9881738 12440917 14220062 14822607 15757366 16750751 18561643 21330093 23636049 24881834 26710657 29645214 33501502 37123286 37322751 42660186 47272098 50252253 53421314 55684929 74645502 80131971 100504506 111369858 160263942 291511271 583022542 686780791 874533813 988294309 1095136937 1373561582 1749067626 1976588618 2060342373 2190273874 2964882927 3285410811 4120684746 5929765854 6570821622 40520066669 81040133338 121560200007 243120400014