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3131041144 = 2371129533307
BaseRepresentation
bin1011101010011111…
…1110010101111000
322002012121100222211
42322213332111320
522403021304034
61234405024504
7140406260560
oct27247762570
98065540884
103131041144
111367433610
127346b5134
133ab8a5b8a
14219b97da0
15134d2ad64
hexba9fe578

3131041144 has 128 divisors (see below), whose sum is σ = 7716902400. Its totient is φ = 1155248640.

The previous prime is 3131041073. The next prime is 3131041153. The reversal of 3131041144 is 4411401313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 945139 + ... + 948445.

It is an arithmetic number, because the mean of its divisors is an integer number (60288300).

Almost surely, 23131041144 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 3131041144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858451200).

3131041144 is an abundant number, since it is smaller than the sum of its proper divisors (4585861256).

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

3131041144 is a wasteful number, since it uses less digits than its factorization.

3131041144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 3131041144 is about 55955.7069832917. The cubic root of 3131041144 is about 1462.9503646625.

Adding to 3131041144 its reverse (4411401313), we get a palindrome (7542442457).

The spelling of 3131041144 in words is "three billion, one hundred thirty-one million, forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 53 56 58 77 88 106 116 154 203 212 232 308 319 371 406 424 583 616 638 742 812 1166 1276 1484 1537 1624 2233 2332 2552 2968 3074 3307 4081 4466 4664 6148 6614 8162 8932 10759 12296 13228 16324 16907 17864 21518 23149 26456 32648 33814 36377 43036 46298 67628 72754 86072 92596 95903 118349 135256 145508 175271 185192 191806 236698 254639 291016 350542 383612 473396 509278 671321 701084 767224 946792 1018556 1054933 1226897 1342642 1402168 1927981 2037112 2109866 2453794 2685284 3855962 4219732 4907588 5082859 5370568 7384531 7711924 8439464 9815176 10165718 13495867 14769062 15423848 20331436 26991734 29538124 35580013 40662872 53983468 55911449 59076248 71160026 107966936 111822898 142320052 223645796 284640104 391380143 447291592 782760286 1565520572 3131041144