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241021343120142 = 231389263132012527
BaseRepresentation
bin110110110011010100100111…
…100010100011101100001110
31011121101102012210211100002010
4312303110213202203230032
5223042343202314321032
62212335402041242050
7101524134365556414
oct6663244742435416
91147342183740063
10241021343120142
116a884639861382
1223047674193326
13a4642a4851840
1443736d0d752b4
151cce7b9149ccc
hexdb35278a3b0e

241021343120142 has 64 divisors (see below), whose sum is σ = 526951767767040. Its totient is φ = 73048339186944.

The previous prime is 241021343120099. The next prime is 241021343120143.

It is a happy number.

241021343120142 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2410213431201422 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241021343120143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64180518 + ... + 67832009.

It is an arithmetic number, because the mean of its divisors is an integer number (8233621371360).

Almost surely, 2241021343120142 is an apocalyptic number.

241021343120142 is an abundant number, since it is smaller than the sum of its proper divisors (285930424646898).

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

241021343120142 is a wasteful number, since it uses less digits than its factorization.

241021343120142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132012897.

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 241021343120142 in words is "two hundred forty-one trillion, twenty-one billion, three hundred forty-three million, one hundred twenty thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 89 178 263 267 526 534 789 1157 1578 2314 3419 3471 6838 6942 10257 20514 23407 46814 70221 140442 304291 608582 912873 1825746 132012527 264025054 396037581 792075162 1716162851 3432325702 5148488553 10296977106 11749114903 23498229806 34719294601 35247344709 69438589202 70494689418 104157883803 152738493739 208315767606 305476987478 451350829813 458215481217 902701659626 916430962434 1354052489439 2708104978878 3090017219489 6180034438978 9270051658467 18540103316934 40170223853357 80340447706714 120510671560071 241021343120142