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241400631460 = 22541017294269
BaseRepresentation
bin1110000011010010011…
…0010101000010100100
3212002002121212200011011
43200310212111002210
512423342030201320
6302521541152004
723304063340312
oct3406446250244
9762077780134
10241400631460
11934173aa3aa
123a9506bb604
13199c1611741
14b9806c70b2
15642cdc805a
hex38349950a4

241400631460 has 24 divisors (see below), whose sum is σ = 506955408120. Its totient is φ = 96557570304.

The previous prime is 241400631449. The next prime is 241400631491. The reversal of 241400631460 is 64136004142.

241400631460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28156168804 + 213244462656 = 167798^2 + 461784^2 .

It is a super-3 number, since 3×2414006314603 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 673206 + ... + 967474.

It is an arithmetic number, because the mean of its divisors is an integer number (21123142005).

Almost surely, 2241400631460 is an apocalyptic number.

241400631460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241400631460 is an abundant number, since it is smaller than the sum of its proper divisors (265554776660).

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

241400631460 is a wasteful number, since it uses less digits than its factorization.

241400631460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335295 (or 335293 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 241400631460 in words is "two hundred forty-one billion, four hundred million, six hundred thirty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 41017 82034 164068 205085 294269 410170 588538 820340 1177076 1471345 2942690 5885380 12070031573 24140063146 48280126292 60350157865 120700315730 241400631460