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2431142142 = 23111314092011
BaseRepresentation
bin1001000011101000…
…0100100011111110
320021102121211001120
42100322010203332
514434333022032
61041123451410
7114150236652
oct22072044376
96242554046
102431142142
111038353090
1257a226b66
132c98a0760
14190c48a62
15e367862c
hex90e848fe

2431142142 has 64 divisors (see below), whose sum is σ = 5719230720. Its totient is φ = 679219200.

The previous prime is 2431142111. The next prime is 2431142167. The reversal of 2431142142 is 2412411342.

It is a super-2 number, since 2×24311421422 = 11820904229216696328, which contains 22 as substring.

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, 1207917 + ... + 1209927.

It is an arithmetic number, because the mean of its divisors is an integer number (89362980).

Almost surely, 22431142142 is an apocalyptic number.

2431142142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2431142142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859615360).

2431142142 is an abundant number, since it is smaller than the sum of its proper divisors (3288088578).

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

2431142142 is a wasteful number, since it uses less digits than its factorization.

2431142142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449.

The product of its digits is 1536, while the sum is 24.

The square root of 2431142142 is about 49306.6135726233. The cubic root of 2431142142 is about 1344.6320247440.

Adding to 2431142142 its reverse (2412411342), we get a palindrome (4843553484).

The spelling of 2431142142 in words is "two billion, four hundred thirty-one million, one hundred forty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 1409 2011 2818 4022 4227 6033 8454 12066 15499 18317 22121 26143 30998 36634 44242 46497 52286 54951 66363 78429 92994 109902 132726 156858 201487 287573 402974 575146 604461 862719 1208922 1725438 2833499 5666998 8500497 17000994 31168489 36835487 62336978 73670974 93505467 110506461 187010934 221012922 405190357 810380714 1215571071 2431142142