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3114137488 = 2471131671217
BaseRepresentation
bin1011100110011101…
…1111011110010000
322001000210120112111
42321213133132100
522334204344423
61233002435104
7140112506020
oct27147373620
98030716474
103114137488
111358938650
1272ab02a94
133a8237c07
14217837a80
151335dc60d
hexb99df790

3114137488 has 160 divisors (see below), whose sum is σ = 7887495168. Its totient is φ = 1155686400.

The previous prime is 3114137387. The next prime is 3114137527. The reversal of 3114137488 is 8847314113.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3114137488.

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, 2558256 + ... + 2559472.

Almost surely, 23114137488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3114137488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943747584).

3114137488 is an abundant number, since it is smaller than the sum of its proper divisors (4773357680).

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

3114137488 is a wasteful number, since it uses less digits than its factorization.

3114137488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1335 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The square root of 3114137488 is about 55804.4575997294. The cubic root of 3114137488 is about 1460.3129197293.

The spelling of 3114137488 in words is "three billion, one hundred fourteen million, one hundred thirty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 67 77 88 112 124 134 154 176 217 248 268 308 341 434 469 496 536 616 682 737 868 938 1072 1217 1232 1364 1474 1736 1876 2077 2387 2434 2728 2948 3472 3752 4154 4774 4868 5159 5456 5896 7504 8308 8519 9548 9736 10318 11792 13387 14539 16616 17038 19096 19472 20636 22847 26774 29078 33232 34076 37727 38192 41272 45694 53548 58156 68152 75454 81539 82544 91388 93709 107096 116312 136304 150908 159929 163078 182776 187418 214192 232624 264089 301816 319858 326156 365552 374836 414997 528178 570773 603632 639716 652312 749672 829994 896929 1056356 1141546 1279432 1304624 1499344 1659988 1793858 2112712 2283092 2527709 2558864 2904979 3319976 3587716 4225424 4566184 5055418 5809958 6278503 6639952 7175432 9132368 10110836 11619916 12557006 14350864 17693963 20221672 23239832 25114012 27804799 35387926 40443344 46479664 50228024 55609598 70775852 100456048 111219196 141551704 194633593 222438392 283103408 389267186 444876784 778534372 1557068744 3114137488