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140224133002239 = 321113477393136909
BaseRepresentation
bin11111111000100001111001…
…101000101111001111111111
3200101111021222221000202120100
4133320201321220233033333
5121334413011022032424
61214122024415052143
741351600510260146
oct3770417150571777
9611437887022510
10140224133002239
11407527a24981a0
1213888462511053
136032104756050
14268ac5454a75d
151132841474dc9
hex7f8879a2f3ff

140224133002239 has 96 divisors (see below), whose sum is σ = 243347926348800. Its totient is φ = 76674062004480.

The previous prime is 140224133002223. The next prime is 140224133002267. The reversal of 140224133002239 is 932200331422041.

140224133002239 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 2 + 413 + 3 + 0 + 0 + 2 + 239 = 666.

It is not a de Polignac number, because 140224133002239 - 24 = 140224133002223 is a prime.

It is a super-2 number, since 2×1402241330022392 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140224133002039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43132917 + ... + 46269825.

It is an arithmetic number, because the mean of its divisors is an integer number (2534874232800).

Almost surely, 2140224133002239 is an apocalyptic number.

140224133002239 is a deficient number, since it is larger than the sum of its proper divisors (103123793346561).

140224133002239 is a wasteful number, since it uses less digits than its factorization.

140224133002239 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137725 (or 3137722 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 140224133002239 in words is "one hundred forty trillion, two hundred twenty-four billion, one hundred thirty-three million, two thousand, two hundred thirty-nine".

Divisors: 1 3 9 11 13 33 39 47 99 117 141 143 423 429 517 611 739 1287 1551 1833 2217 4653 5499 6651 6721 8129 9607 20163 24387 28821 34733 60489 73161 86463 104199 105677 312597 317031 382063 451529 951093 1146189 1354587 3136909 3438567 4063761 4966819 9410727 14900457 28232181 34505999 40779817 44701371 103517997 122339451 147434723 310553991 367018353 442304169 448577987 1326912507 1345733961 1621781953 1916651399 2318175751 4037201883 4865345859 5749954197 6954527253 14596037577 17249862591 20863581759 21083165389 25499933261 30136284763 63249496167 76499799783 90408854289 108954260297 189748488501 229499399349 271226562867 326862780891 331499132393 980588342673 994497397179 1198496863267 1416405383861 2983492191537 3595490589801 4249216151583 10786471769403 12747648454749 15580459222471 46741377667413 140224133002239