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9940917140 = 2257211283833
BaseRepresentation
bin10010100001000011…
…00101101110010100
3221122210120220200022
421100201211232110
5130324333322030
64322232204312
7501226254500
oct112041455624
927583526608
109940917140
114241430200
121b15239698
13c256a1abb
146a4383300
153d2adbde5
hex250865b94

9940917140 has 108 divisors (see below), whose sum is σ = 26692913268. Its totient is φ = 3098430720.

The previous prime is 9940917137. The next prime is 9940917197. The reversal of 9940917140 is 417190499.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4223440144 + 5717476996 = 64988^2 + 75614^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 9940917091 and 9940917100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76664 + ... + 160496.

Almost surely, 29940917140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9940917140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13346456634).

9940917140 is an abundant number, since it is smaller than the sum of its proper divisors (16751996128).

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

9940917140 is a wasteful number, since it uses less digits than its factorization.

9940917140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83878 (or 83858 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 44.

The square root of 9940917140 is about 99704.1480581425. The cubic root of 9940917140 is about 2150.1833007593.

The spelling of 9940917140 in words is "nine billion, nine hundred forty million, nine hundred seventeen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 121 140 154 196 220 242 245 308 385 484 490 539 605 770 847 980 1078 1210 1540 1694 2156 2420 2695 3388 4235 5390 5929 8470 10780 11858 16940 23716 29645 59290 83833 118580 167666 335332 419165 586831 838330 922163 1173662 1676660 1844326 2347324 2934155 3688652 4107817 4610815 5868310 6455141 8215634 9221630 10143793 11736620 12910282 16431268 18443260 20287586 20539085 25820564 32275705 40575172 41078170 45185987 50718965 64551410 71006551 82156340 90371974 101437930 129102820 142013102 180743948 202875860 225929935 284026204 355032755 451859870 497045857 710065510 903719740 994091714 1420131020 1988183428 2485229285 4970458570 9940917140