Search a number
-
+
240555343151214 = 2327131019144120887
BaseRepresentation
bin110110101100100010100111…
…110001110000000001101110
31011112201212101110200011021200
4312230202213301300001232
5223012224320321314324
62211341333220510330
7101445356440312050
oct6654424761600156
91145655343604250
10240555343151214
116a714a47a42513
1222b912a184b3a6
13a42c36b6cb760
144358d2551b8d0
151cc25e33beec9
hexdac8a7c7006e

240555343151214 has 96 divisors (see below), whose sum is σ = 642110439559680. Its totient is φ = 63380906761536.

The previous prime is 240555343151161. The next prime is 240555343151281. The reversal of 240555343151214 is 412151343555042.

240555343151214 is a `hidden beast` number, since 2 + 4 + 0 + 5 + 553 + 4 + 31 + 51 + 2 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 240555343151214.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70391322 + ... + 73729565.

It is an arithmetic number, because the mean of its divisors is an integer number (6688650412080).

Almost surely, 2240555343151214 is an apocalyptic number.

240555343151214 is an abundant number, since it is smaller than the sum of its proper divisors (401555096408466).

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

240555343151214 is a wasteful number, since it uses less digits than its factorization.

240555343151214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144121934 (or 144121931 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 240555343151214 in words is "two hundred forty trillion, five hundred fifty-five billion, three hundred forty-three million, one hundred fifty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1019 1638 2038 3057 6114 7133 9171 13247 14266 18342 21399 26494 39741 42798 64197 79482 92729 119223 128394 185458 238446 278187 556374 834561 1669122 144120887 288241774 432362661 864725322 1008846209 1297087983 1873571531 2017692418 2594175966 3026538627 3747143062 5620714593 6053077254 9079615881 11241429186 13115000717 16862143779 18159231762 26230001434 33724287558 39345002151 78690004302 118035006453 146859183853 236070012906 293718367706 440577551559 881155103118 1028014286971 1321732654677 1909169390089 2056028573942 2643465309354 3084042860913 3818338780178 5727508170267 6168085721826 9252128582739 11455016340534 13364185730623 17182524510801 18504257165478 26728371461246 34365049021602 40092557191869 80185114383738 120277671575607 240555343151214