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10524115140 = 22357211325421
BaseRepresentation
bin10011100110100100…
…10100000011000100
31000011102222102221020
421303102110003010
5133023133141030
64500144151140
7521540334300
oct116322240304
930142872836
1010524115140
114510652520
1220586084b0
13cb9466a86
1471b9d4d00
15418ddb510
hex2734940c4

10524115140 has 144 divisors (see below), whose sum is σ = 37394892864. Its totient is φ = 2186822400.

The previous prime is 10524115111. The next prime is 10524115157. The reversal of 10524115140 is 4151142501.

It is a super-2 number, since 2×105241151402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10524115140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130371 + ... + 195050.

It is an arithmetic number, because the mean of its divisors is an integer number (259686756).

Almost surely, 210524115140 is an apocalyptic number.

10524115140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10524115140 is an abundant number, since it is smaller than the sum of its proper divisors (26870777724).

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

10524115140 is a wasteful number, since it uses less digits than its factorization.

10524115140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325458 (or 325449 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 10524115140 its reverse (4151142501), we get a palindrome (14675257641).

The spelling of 10524115140 in words is "ten billion, five hundred twenty-four million, one hundred fifteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 105 110 132 140 147 154 165 196 210 220 231 245 294 308 330 385 420 462 490 539 588 660 735 770 924 980 1078 1155 1470 1540 1617 2156 2310 2695 2940 3234 4620 5390 6468 8085 10780 16170 32340 325421 650842 976263 1301684 1627105 1952526 2277947 3254210 3579631 3905052 4555894 4881315 6508420 6833841 7159262 9111788 9762630 10738893 11389735 13667682 14318524 15945629 17898155 19525260 21477786 22779470 25057417 27335364 31891258 34169205 35796310 42955572 45558940 47836887 50114834 53694465 63782516 68338410 71592620 75172251 79728145 95673774 100229668 107388930 125287085 136676820 150344502 159456290 175401919 191347548 214777860 239184435 250574170 300689004 318912580 350803838 375861255 478368870 501148340 526205757 701607676 751722510 877009595 956737740 1052411514 1503445020 1754019190 2104823028 2631028785 3508038380 5262057570 10524115140