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2431241140 = 22519337479
BaseRepresentation
bin1001000011101001…
…1100101110110100
320021102210211212011
42100322130232310
514434344204030
61041125534004
7114151131406
oct22072345664
96242724764
102431241140
1110384104a9
1257a274304
132c9906833
14190c72b76
15e3697b2a
hex90e9cbb4

2431241140 has 96 divisors (see below), whose sum is σ = 5546419200. Its totient is φ = 894540672.

The previous prime is 2431241119. The next prime is 2431241161. The reversal of 2431241140 is 411421342.

It is a happy number.

2431241140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2431241119) and next prime (2431241161).

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, 5075421 + ... + 5075899.

It is an arithmetic number, because the mean of its divisors is an integer number (57775200).

Almost surely, 22431241140 is an apocalyptic number.

2431241140 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 2431241140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773209600).

2431241140 is an abundant number, since it is smaller than the sum of its proper divisors (3115178060).

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

2431241140 is a wasteful number, since it uses less digits than its factorization.

2431241140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2431241140 is about 49307.6174642418. The cubic root of 2431241140 is about 1344.6502759837.

Adding to 2431241140 its reverse (411421342), we get a palindrome (2842662482).

The spelling of 2431241140 in words is "two billion, four hundred thirty-one million, two hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 148 185 190 361 370 380 479 703 722 740 958 1406 1444 1805 1916 2395 2812 3515 3610 4790 6859 7030 7220 9101 9580 13357 13718 14060 17723 18202 26714 27436 34295 35446 36404 45505 53428 66785 68590 70892 88615 91010 133570 137180 172919 177230 182020 253783 267140 336737 345838 354460 507566 673474 691676 864595 1015132 1268915 1346948 1683685 1729190 2537830 3285461 3367370 3458380 5075660 6398003 6570922 6734740 12796006 13141844 16427305 25592012 31990015 32854610 63980030 65709220 121562057 127960060 243124114 486248228 607810285 1215620570 2431241140