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103315444334040 = 23352931957688583
BaseRepresentation
bin10111011111011100000000…
…010110111111110111011000
3111112210212012221202021212210
4113133130000112333313120
5102020210012222142130
61003422243201035120
730522203011041651
oct2737340026776730
9445725187667783
10103315444334040
112aa12919997984
12b707285325aa0
1345857b23b5533
141b726cc096528
15be27125065b0
hex5df7005bfdd8

103315444334040 has 128 divisors (see below), whose sum is σ = 330977174630400. Its totient is φ = 25742669084160.

The previous prime is 103315444334023. The next prime is 103315444334057. The reversal of 103315444334040 is 40433444513301.

It is an interprime number because it is at equal distance from previous prime (103315444334023) and next prime (103315444334057).

It is a self number, because there is not a number n which added to its sum of digits gives 103315444334040.

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, 478736412 + ... + 478952171.

It is an arithmetic number, because the mean of its divisors is an integer number (2585759176800).

Almost surely, 2103315444334040 is an apocalyptic number.

103315444334040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103315444334040 is an abundant number, since it is smaller than the sum of its proper divisors (227661730296360).

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

103315444334040 is a wasteful number, since it uses less digits than its factorization.

103315444334040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957688657 (or 957688653 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

Adding to 103315444334040 its reverse (40433444513301), we get a palindrome (143748888847341).

The spelling of 103315444334040 in words is "one hundred three trillion, three hundred fifteen billion, four hundred forty-four million, three hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 31 40 58 60 62 87 93 116 120 124 145 155 174 186 232 248 290 310 348 372 435 465 580 620 696 744 870 899 930 1160 1240 1740 1798 1860 2697 3480 3596 3720 4495 5394 7192 8990 10788 13485 17980 21576 26970 35960 53940 107880 957688583 1915377166 2873065749 3830754332 4788442915 5746131498 7661508664 9576885830 11492262996 14365328745 19153771660 22984525992 27772968907 28730657490 29688346073 38307543320 55545937814 57461314980 59376692146 83318906721 89065038219 111091875628 114922629960 118753384292 138864844535 148441730365 166637813442 178130076438 222183751256 237506768584 277729689070 296883460730 333275626884 356260152876 416594533605 445325191095 555459378140 593766921460 666551253768 712520305752 833189067210 860962036117 890650382190 1110918756280 1187533842920 1666378134420 1721924072234 1781300764380 2582886108351 3332756268840 3443848144468 3562601528760 4304810180585 5165772216702 6887696288936 8609620361170 10331544433404 12914430541755 17219240722340 20663088866808 25828861083510 34438481444680 51657722167020 103315444334040