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241564465142 = 2711131956911161
BaseRepresentation
bin1110000011111001011…
…1010011011111110110
3212002112001011021201022
43200332113103133312
512424211000341032
6302550112501142
723311123034450
oct3407627233766
9762461137638
10241564465142
11934a0930040
123a99754a7b2
1319a19545150
14b9983732d0
15643c48b512
hex383e5d37f6

241564465142 has 128 divisors (see below), whose sum is σ = 513059097600. Its totient is φ = 82151884800.

The previous prime is 241564465133. The next prime is 241564465189.

241564465142 is nontrivially palindromic in base 10.

241564465142 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 241564465093 and 241564465102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21638042 + ... + 21649202.

It is an arithmetic number, because the mean of its divisors is an integer number (4008274200).

Almost surely, 2241564465142 is an apocalyptic number.

241564465142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

241564465142 is an abundant number, since it is smaller than the sum of its proper divisors (271494632458).

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

241564465142 is a wasteful number, since it uses less digits than its factorization.

241564465142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11782.

The product of its digits is 921600, while the sum is 44.

The spelling of 241564465142 in words is "two hundred forty-one billion, five hundred sixty-four million, four hundred sixty-five thousand, one hundred forty-two".

Divisors: 1 2 7 11 13 14 19 22 26 38 77 91 133 143 154 182 209 247 266 286 418 494 569 1001 1138 1463 1729 2002 2717 2926 3458 3983 5434 6259 7397 7966 10811 11161 12518 14794 19019 21622 22322 38038 43813 51779 75677 78127 81367 87626 103558 118921 122771 140543 145093 151354 156254 162734 212059 237842 245542 281086 290186 424118 569569 832447 859397 983801 1015651 1139138 1484413 1545973 1596023 1664894 1718794 1967602 2031302 2332649 2756767 2968826 3091946 3192046 4665298 5513534 6350609 10821811 11172161 12701218 16328543 19297369 21643622 22344322 30324437 32657086 38594738 44454263 60648874 69856699 82557917 88908526 120661571 139713398 165115834 212271059 241323142 424542118 488996893 577905419 844630997 908137087 977993786 1155810838 1327277281 1568600423 1689261994 1816274174 2654554562 3137200846 6356959609 9290940967 10980202961 12713919218 17254604653 18581881934 21960405922 34509209306 120782232571 241564465142