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100013114014440 = 233511233325182449
BaseRepresentation
bin10110101111011000011110…
…001000100011101011101000
3111010010011022212122111011020
4112233120132020203223220
5101102103324141430230
6552413220145332440
730031465125341424
oct2657303610435350
9433104285574136
10100013114014440
112995a361585340
12b273265637120
1343a62720272c3
141a9a936779b84
15b86885c43810
hex5af61e223ae8

100013114014440 has 128 divisors (see below), whose sum is σ = 328720435056000. Its totient is φ = 24141544939520.

The previous prime is 100013114014423. The next prime is 100013114014579. The reversal of 100013114014440 is 44410411310001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100013114014440.

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, 162283665 + ... + 162898784.

It is an arithmetic number, because the mean of its divisors is an integer number (2568128398875).

Almost surely, 2100013114014440 is an apocalyptic number.

100013114014440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100013114014440 is an abundant number, since it is smaller than the sum of its proper divisors (228707321041560).

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

100013114014440 is a wasteful number, since it uses less digits than its factorization.

100013114014440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325182707 (or 325182703 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 100013114014440 its reverse (44410411310001), we get a palindrome (144423525324441).

The spelling of 100013114014440 in words is "one hundred trillion, thirteen billion, one hundred fourteen million, fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 233 264 330 440 466 660 699 932 1165 1320 1398 1864 2330 2563 2796 3495 4660 5126 5592 6990 7689 9320 10252 12815 13980 15378 20504 25630 27960 30756 38445 51260 61512 76890 102520 153780 307560 325182449 650364898 975547347 1300729796 1625912245 1951094694 2601459592 3251824490 3577006939 3902189388 4877736735 6503648980 7154013878 7804378776 9755473470 10731020817 13007297960 14308027756 17885034695 19510946940 21462041634 28616055512 35770069390 39021893880 42924083268 53655104085 71540138780 75767510617 85848166536 107310208170 143080277560 151535021234 214620416340 227302531851 303070042468 378837553085 429240832680 454605063702 606140084936 757675106170 833442616787 909210127404 1136512659255 1515350212340 1666885233574 1818420254808 2273025318510 2500327850361 3030700424680 3333770467148 4167213083935 4546050637020 5000655700722 6667540934296 8334426167870 9092101274040 10001311401444 12501639251805 16668852335740 20002622802888 25003278503610 33337704671480 50006557007220 100013114014440