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241155551142 = 232115791210319
BaseRepresentation
bin1110000010010111111…
…1011010111110100110
3212001110112201022011100
43200211333122332212
512422341310114032
6302441344220530
723265026235402
oct3404577327646
9761415638140
10241155551142
1193301026990
123a8a260a746
13199829023bc
14b959d2c102
15641661697c
hex3825fdafa6

241155551142 has 48 divisors (see below), whose sum is σ = 570105169920. Its totient is φ = 73064473200.

The previous prime is 241155551129. The next prime is 241155551209.

241155551142 is a `hidden beast` number, since 2 + 4 + 11 + 55 + 551 + 1 + 42 = 666.

241155551142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 241155551097 and 241155551106.

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 23 ways as a sum of consecutive naturals, for example, 1041459 + ... + 1251777.

It is an arithmetic number, because the mean of its divisors is an integer number (11877191040).

Almost surely, 2241155551142 is an apocalyptic number.

241155551142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

241155551142 is an abundant number, since it is smaller than the sum of its proper divisors (328949618778).

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

241155551142 is a wasteful number, since it uses less digits than its factorization.

241155551142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216129 (or 216126 counting only the distinct ones).

The product of its digits is 40000, while the sum is 36.

It can be divided in two parts, 241155 and 551142, that added together give a palindrome (792297).

The spelling of 241155551142 in words is "two hundred forty-one billion, one hundred fifty-five million, five hundred fifty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 5791 11582 17373 34746 52119 63701 104238 127402 191103 210319 382206 420638 573309 630957 1146618 1261914 1892871 2313509 3785742 4627018 6940527 13881054 20821581 41643162 1217957329 2435914658 3653871987 7307743974 10961615961 13397530619 21923231922 26795061238 40192591857 80385183714 120577775571 241155551142