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11431311240 = 2335199535261
BaseRepresentation
bin10101010010101101…
…11111011110001000
31002111200000210000210
422221112333132020
5141402403424430
65130152401120
7553164354006
oct125126773610
932450023023
1011431311240
11493674a368
1222703a61a0
1311023ac9bb
147a62a5a76
1546d88a2b0
hex2a95bf788

11431311240 has 128 divisors (see below), whose sum is σ = 36143625600. Its totient is φ = 2884331520.

The previous prime is 11431311233. The next prime is 11431311253. The reversal of 11431311240 is 4211313411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2170210 + ... + 2175470.

It is an arithmetic number, because the mean of its divisors is an integer number (282372075).

Almost surely, 211431311240 is an apocalyptic number.

11431311240 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 11431311240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18071812800).

11431311240 is an abundant number, since it is smaller than the sum of its proper divisors (24712314360).

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

11431311240 is a wasteful number, since it uses less digits than its factorization.

11431311240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6247 (or 6243 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11431311240 its reverse (4211313411), we get a palindrome (15642624651).

The spelling of 11431311240 in words is "eleven billion, four hundred thirty-one million, three hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 953 1140 1906 2280 2859 3812 4765 5261 5718 7624 9530 10522 11436 14295 15783 18107 19060 21044 22872 26305 28590 31566 36214 38120 42088 52610 54321 57180 63132 72428 78915 90535 99959 105220 108642 114360 126264 144856 157830 181070 199918 210440 217284 271605 299877 315660 362140 399836 434568 499795 543210 599754 631320 724280 799672 999590 1086420 1199508 1499385 1999180 2172840 2399016 2998770 3998360 5013733 5997540 10027466 11995080 15041199 20054932 25068665 30082398 40109864 50137330 60164796 75205995 95260927 100274660 120329592 150411990 190521854 200549320 285782781 300823980 381043708 476304635 571565562 601647960 762087416 952609270 1143131124 1428913905 1905218540 2286262248 2857827810 3810437080 5715655620 11431311240