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10344881040 = 24351331106957
BaseRepresentation
bin10011010001001101…
…00101101110010000
3222200221201101222020
421220212211232100
5132141242143130
64430302411440
7514233016014
oct115046455620
928627641866
1010344881040
11442946326a
122008590b80
13c8b2a06b0
14701c9a544
154082d4e10
hex2689a5b90

10344881040 has 160 divisors (see below), whose sum is σ = 35650384896. Its totient is φ = 2464266240.

The previous prime is 10344881033. The next prime is 10344881081. The reversal of 10344881040 is 4018844301.

It is a junction number, because it is equal to n+sod(n) for n = 10344880992 and 10344881010.

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, 43242 + ... + 150198.

Almost surely, 210344881040 is an apocalyptic number.

10344881040 is a gapful number since it is divisible by the number (10) 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 10344881040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17825192448).

10344881040 is an abundant number, since it is smaller than the sum of its proper divisors (25305503856).

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

10344881040 is a wasteful number, since it uses less digits than its factorization.

10344881040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107017 (or 107011 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 10344881040 in words is "ten billion, three hundred forty-four million, eight hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 39 40 48 52 60 62 65 78 80 93 104 120 124 130 155 156 186 195 208 240 248 260 310 312 372 390 403 465 496 520 620 624 744 780 806 930 1040 1209 1240 1488 1560 1612 1860 2015 2418 2480 3120 3224 3720 4030 4836 6045 6448 7440 8060 9672 12090 16120 19344 24180 32240 48360 96720 106957 213914 320871 427828 534785 641742 855656 1069570 1283484 1390441 1604355 1711312 2139140 2566968 2780882 3208710 3315667 4171323 4278280 5133936 5561764 6417420 6631334 6952205 8342646 8556560 9947001 11123528 12834840 13262668 13904410 16578335 16685292 19894002 20856615 22247056 25669680 26525336 27808820 33156670 33370584 39788004 41713230 43103671 49735005 53050672 55617640 66313340 66741168 79576008 83426460 86207342 99470010 111235280 129311013 132626680 159152016 166852920 172414684 198940020 215518355 258622026 265253360 333705840 344829368 397880040 431036710 517244052 646555065 689658736 795760080 862073420 1034488104 1293110130 1724146840 2068976208 2586220260 3448293680 5172440520 10344881040