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240142104230013 = 344770529894371
BaseRepresentation
bin110110100110100001110000…
…110100010111100001111101
31011111021100202010201220120000
4312212201300310113201331
5222433442012140330023
62210423432032344513
7101403460131403116
oct6646416064274175
91144240663656500
10240142104230013
116a575770389727
1222b251949a5139
13a3cc3c335793b
144342d22d9920d
151cb69a95cd243
hexda6870d1787d

240142104230013 has 40 divisors (see below), whose sum is σ = 366368971985280. Its totient is φ = 156686068362240.

The previous prime is 240142104230003. The next prime is 240142104230029. The reversal of 240142104230013 is 310032401241042.

240142104230013 is a `hidden beast` number, since 2 + 4 + 0 + 1 + 421 + 0 + 4 + 230 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 240142104230013 - 221 = 240142102132861 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240142104230003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 268056718 + ... + 268951088.

It is an arithmetic number, because the mean of its divisors is an integer number (9159224299632).

Almost surely, 2240142104230013 is an apocalyptic number.

It is an amenable number.

240142104230013 is a deficient number, since it is larger than the sum of its proper divisors (126226867755267).

240142104230013 is an equidigital number, since it uses as much as digits as its factorization.

240142104230013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964959 (or 964950 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 240142104230013 its reverse (310032401241042), we get a palindrome (550174505471055).

The spelling of 240142104230013 in words is "two hundred forty trillion, one hundred forty-two billion, one hundred four million, two hundred thirty thousand, thirteen".

Divisors: 1 3 9 27 47 81 141 423 1269 3807 70529 211587 634761 894371 1904283 2683113 3314863 5712849 8049339 9944589 24148017 29833767 42035437 72444051 89501301 126106311 268503903 378318933 1134956799 3404870397 63079092259 189237276777 567711830331 1703135490993 2964717336173 5109406472979 8894152008519 26682456025557 80047368076671 240142104230013