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40105814442540 = 22357118680912217
BaseRepresentation
bin10010001111001110111001…
…10100101100001000101100
312021000002010011110122020220
421013213130310230020230
520224043201444130130
6221144205023011340
711306356320004530
oct1107473464541054
9167002104418226
1040105814442540
1111862864772990
1245b8938139b50
13194bc678a4642
149c91bb845bc0
1549839e639410
hex2479dcd2c22c

40105814442540 has 96 divisors (see below), whose sum is σ = 140005752251904. Its totient is φ = 8333675727360.

The previous prime is 40105814442517. The next prime is 40105814442587. The reversal of 40105814442540 is 4524441850104.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 40105814442492 and 40105814442501.

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, 4340451489 + ... + 4340460728.

It is an arithmetic number, because the mean of its divisors is an integer number (1458393252624).

Almost surely, 240105814442540 is an apocalyptic number.

It is an amenable number.

40105814442540 is an abundant number, since it is smaller than the sum of its proper divisors (99899937809364).

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

40105814442540 is a wasteful number, since it uses less digits than its factorization.

40105814442540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8680912247 (or 8680912245 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 42.

The spelling of 40105814442540 in words is "forty trillion, one hundred five billion, eight hundred fourteen million, four hundred forty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 8680912217 17361824434 26042736651 34723648868 43404561085 52085473302 60766385519 86809122170 95490034387 104170946604 121532771038 130213683255 173618244340 182299156557 190980068774 243065542076 260427366510 286470103161 303831927595 364598313114 381960137548 477450171935 520854733020 572940206322 607663855190 668430240709 729196626228 911495782785 954900343870 1145880412644 1215327710380 1336860481418 1432350515805 1822991565570 1909800687740 2005290722127 2673720962836 2864701031610 3342151203545 3645983131140 4010581444254 5729402063220 6684302407090 8021162888508 10026453610635 13368604814180 20052907221270 40105814442540