Search a number
-
+
40860810933760 = 295233112231407
BaseRepresentation
bin10010100101001101001100…
…00111101111011000000000
312100200020220011120021001001
421102212212013233120000
520323430420044340020
6222523110350021344
711415044662205566
oct1122464607573000
9170606804507031
1040860810933760
1112023a77595414
1246bb122aa7854
1319a5208cb1a7c
14a13960ca7a36
154acd3ba4850a
hex2529a61ef600

40860810933760 has 160 divisors (see below), whose sum is σ = 102558510692352. Its totient is φ = 15583425454080.

The previous prime is 40860810933751. The next prime is 40860810933769. The reversal of 40860810933760 is 6733901806804.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40860810933751) and next prime (40860810933769).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40860810933769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17195977 + ... + 19427383.

Almost surely, 240860810933760 is an apocalyptic number.

40860810933760 is a gapful number since it is divisible by the number (40) 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 40860810933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51279255346176).

40860810933760 is an abundant number, since it is smaller than the sum of its proper divisors (61697699758592).

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

40860810933760 is a wasteful number, since it uses less digits than its factorization.

40860810933760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231764 (or 2231748 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 40860810933760 in words is "forty trillion, eight hundred sixty billion, eight hundred ten million, nine hundred thirty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 311 320 368 460 512 622 640 736 920 1244 1280 1472 1555 1840 2488 2560 2944 3110 3680 4976 5888 6220 7153 7360 9952 11776 12440 14306 14720 19904 24880 28612 29440 35765 39808 49760 57224 58880 71530 79616 99520 114448 143060 159232 199040 228896 286120 398080 457792 572240 796160 915584 1144480 1831168 2231407 2288960 3662336 4462814 4577920 8925628 9155840 11157035 17851256 18311680 22314070 35702512 44628140 51322361 71405024 89256280 102644722 142810048 178512560 205289444 256611805 285620096 357025120 410578888 513223610 571240192 693967577 714050240 821157776 1026447220 1142480384 1387935154 1428100480 1642315552 2052894440 2775870308 2856200960 3284631104 3469837885 4105788880 5551740616 5712401920 6569262208 6939675770 8211577760 11103481232 13138524416 13879351540 15961254271 16423155520 22206962464 26277048832 27758703080 31922508542 32846311040 44413924928 55517406160 63845017084 65692622080 79806271355 88827849856 111034812320 127690034168 131385244160 159612542710 177655699712 222069624640 255380068336 319225085420 355311399424 444139249280 510760136672 638450170840 888278498560 1021520273344 1276900341680 1776556997120 2043040546688 2553800683360 4086081093376 5107601366720 8172162186752 10215202733440 20430405466880 40860810933760