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241431561140 = 225711165794613
BaseRepresentation
bin1110000011011001110…
…0010100001110110100
3212002011210002001200212
43200312130110032310
512423422434424030
6302525004124552
723304620260310
oct3406634241664
9762153061625
10241431561140
1193432905320
123a95ab36758
13199c7b50923
14b984858b40
156430987595
hex38367143b4

241431561140 has 96 divisors (see below), whose sum is σ = 632499888384. Its totient is φ = 75205186560.

The previous prime is 241431561139. The next prime is 241431561229. The reversal of 241431561140 is 41165134142.

It is a junction number, because it is equal to n+sod(n) for n = 241431561097 and 241431561106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2504474 + ... + 2599086.

It is an arithmetic number, because the mean of its divisors is an integer number (6588540504).

Almost surely, 2241431561140 is an apocalyptic number.

241431561140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241431561140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316249944192).

241431561140 is an abundant number, since it is smaller than the sum of its proper divisors (391068327244).

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

241431561140 is a wasteful number, since it uses less digits than its factorization.

241431561140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96297 (or 96295 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 241431561140 its reverse (41165134142), we get a palindrome (282596695282).

The spelling of 241431561140 in words is "two hundred forty-one billion, four hundred thirty-one million, five hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 1657 3314 6628 8285 11599 16570 18227 23198 33140 36454 46396 57995 72908 91135 94613 115990 127589 182270 189226 231980 255178 364540 378452 473065 510356 637945 662291 946130 1040743 1275890 1324582 1892260 2081486 2551780 2649164 3311455 4162972 5203715 6622910 7285201 10407430 13245820 14570402 20814860 29140804 36426005 72852010 145704020 156773741 313547482 627094964 783868705 1097416187 1567737410 1724511151 2194832374 3135474820 3449022302 4389664748 5487080935 6898044604 8622555755 10974161870 12071578057 17245111510 21948323740 24143156114 34490223020 48286312228 60357890285 120715780570 241431561140