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240102201042 = 232111607754597
BaseRepresentation
bin1101111110011100110…
…1001101011011010010
3211221202010122120110200
43133213031031123102
512413212130413132
6302145035240030
723226646015014
oct3374715153322
9757663576420
10240102201042
1192910484410
123a6498a9016
1319845606012
14b89a0941b4
1563a3de7d7c
hex37e734d6d2

240102201042 has 48 divisors (see below), whose sum is σ = 567868197312. Its totient is φ = 72712870560.

The previous prime is 240102201023. The next prime is 240102201089.

240102201042 is a `hidden beast` number, since 2 + 401 + 0 + 220 + 1 + 0 + 42 = 666.

240102201042 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 59113 + ... + 695484.

It is an arithmetic number, because the mean of its divisors is an integer number (11830587444).

Almost surely, 2240102201042 is an apocalyptic number.

240102201042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

240102201042 is an abundant number, since it is smaller than the sum of its proper divisors (327765996270).

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

240102201042 is a wasteful number, since it uses less digits than its factorization.

240102201042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756223 (or 756220 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 240102 and 201042, that added together give a palindrome (441144).

The spelling of 240102201042 in words is "two hundred forty billion, one hundred two million, two hundred one thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1607 3214 4821 9642 14463 17677 28926 35354 53031 106062 159093 318186 754597 1509194 2263791 4527582 6791373 8300567 13582746 16601134 24901701 49803402 74705103 149410206 1212637379 2425274758 3637912137 7275824274 10913736411 13339011169 21827472822 26678022338 40017033507 80034067014 120051100521 240102201042