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6140431044 = 2233112617703
BaseRepresentation
bin1011011011111111…
…11000101011000100
3120211221022012212000
411231333320223010
5100033422243134
62453150425300
7305110542216
oct55577705304
916757265760
106140431044
112671127800
121234502230
1376b1c7367
144237265b6
1525e126e99
hex16dff8ac4

6140431044 has 144 divisors (see below), whose sum is σ = 17787611520. Its totient is φ = 1829995200.

The previous prime is 6140431021. The next prime is 6140431091. The reversal of 6140431044 is 4401340416.

6140431044 is a `hidden beast` number, since 614 + 0 + 4 + 3 + 1 + 0 + 44 = 666.

It is a super-2 number, since 2×61404310442 = 75409786812237859872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6140430999 and 6140431017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 793297 + ... + 800999.

It is an arithmetic number, because the mean of its divisors is an integer number (123525080).

Almost surely, 26140431044 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 6140431044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8893805760).

6140431044 is an abundant number, since it is smaller than the sum of its proper divisors (11647180476).

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

6140431044 is a wasteful number, since it uses less digits than its factorization.

6140431044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7799 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6140431044 is about 78360.9025216019. The cubic root of 6140431044 is about 1831.1880809607.

The spelling of 6140431044 in words is "six billion, one hundred forty million, four hundred thirty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 61 66 99 108 121 122 132 183 198 242 244 297 363 366 396 484 549 594 671 726 732 1089 1098 1188 1342 1452 1647 2013 2178 2196 2684 3267 3294 4026 4356 6039 6534 6588 7381 7703 8052 12078 13068 14762 15406 18117 22143 23109 24156 29524 30812 36234 44286 46218 66429 69327 72468 84733 88572 92436 132858 138654 169466 199287 207981 254199 265716 277308 338932 398574 415962 469883 508398 762597 797148 831924 932063 939766 1016796 1409649 1525194 1864126 1879532 2287791 2796189 2819298 3050388 3728252 4228947 4575582 5168713 5592378 5638596 8388567 8457894 9151164 10337426 11184756 12686841 15506139 16777134 16915788 20674852 25165701 25373682 31012278 33554268 46518417 50331402 50747364 56855843 62024556 93036834 100662804 113711686 139555251 170567529 186073668 227423372 279110502 341135058 511702587 558221004 682270116 1023405174 1535107761 2046810348 3070215522 6140431044