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11431012440 = 2335537922751
BaseRepresentation
bin10101010010101011…
…10110100001011000
31002111122110121011010
422221111312201120
5141402314344230
65130142133520
7553162000611
oct125125664130
932448417133
1011431012440
114936565921
1222702812a0
1311023069b3
147a6228c08
1546d82b9b0
hex2a9576858

11431012440 has 128 divisors (see below), whose sum is σ = 35383910400. Its totient is φ = 2952768000.

The previous prime is 11431012429. The next prime is 11431012469. The reversal of 11431012440 is 4421013411.

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, 491065 + ... + 513815.

It is an arithmetic number, because the mean of its divisors is an integer number (276436800).

Almost surely, 211431012440 is an apocalyptic number.

11431012440 is a gapful number since it is divisible by the number (10) 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 11431012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17691955200).

11431012440 is an abundant number, since it is smaller than the sum of its proper divisors (23952897960).

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

11431012440 is a wasteful number, since it uses less digits than its factorization.

11431012440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22897 (or 22893 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11431012440 its reverse (4421013411), we get a palindrome (15852025851).

The spelling of 11431012440 in words is "eleven billion, four hundred thirty-one million, twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 79 106 120 158 159 212 237 265 316 318 395 424 474 530 632 636 790 795 948 1060 1185 1272 1580 1590 1896 2120 2370 3160 3180 4187 4740 6360 8374 9480 12561 16748 20935 22751 25122 33496 41870 45502 50244 62805 68253 83740 91004 100488 113755 125610 136506 167480 182008 227510 251220 273012 341265 455020 502440 546024 682530 910040 1205803 1365060 1797329 2411606 2730120 3594658 3617409 4823212 5391987 6029015 7189316 7234818 8986645 9646424 10783974 12058030 14378632 14469636 17973290 18087045 21567948 24116060 26959935 28939272 35946580 36174090 43135896 48232120 53919870 71893160 72348180 95258437 107839740 144696360 190516874 215679480 285775311 381033748 476292185 571550622 762067496 952584370 1143101244 1428876555 1905168740 2286202488 2857753110 3810337480 5715506220 11431012440