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10140908076240 = 2435431743131947
BaseRepresentation
bin1001001110010001110100…
…1110010011110011010000
31022220110110022122011222220
42103210131032103303100
52312122034431414430
633322400250101040
72064441104260224
oct223443516236320
938813408564886
1010140908076240
11325a80a266297
12117946171a780
1358738bbb0c26
14270b731ba784
15128bc5739110
hex9391d393cd0

10140908076240 has 160 divisors (see below), whose sum is σ = 31552402231296. Its totient is φ = 2694316208640.

The previous prime is 10140908076227. The next prime is 10140908076241. The reversal of 10140908076240 is 4267080904101.

It is a super-2 number, since 2×101409080762402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10140908076192 and 10140908076201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140908076241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76789947 + ... + 76921893.

Almost surely, 210140908076240 is an apocalyptic number.

10140908076240 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 10140908076240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15776201115648).

10140908076240 is an abundant number, since it is smaller than the sum of its proper divisors (21411494155056).

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

10140908076240 is a wasteful number, since it uses less digits than its factorization.

10140908076240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133137 (or 133131 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 10140908076240 in words is "ten trillion, one hundred forty billion, nine hundred eight million, seventy-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 431 743 862 1293 1486 1724 2155 2229 2586 2972 3448 3715 4310 4458 5172 5944 6465 6896 7430 8620 8916 10344 11145 11888 12930 14860 17240 17832 20688 22290 25860 29720 34480 35664 44580 51720 59440 89160 103440 131947 178320 263894 320233 395841 527788 640466 659735 791682 960699 1055576 1280932 1319470 1583364 1601165 1921398 1979205 2111152 2561864 2638940 3166728 3202330 3842796 3958410 4803495 5123728 5277880 6333456 6404660 7685592 7916820 9606990 10555760 12809320 15371184 15833640 19213980 25618640 31667280 38427960 56869157 76855920 98036621 113738314 170607471 196073242 227476628 284345785 294109863 341214942 392146484 454953256 490183105 568691570 588219726 682429884 784292968 853037355 909906512 980366210 1137383140 1176439452 1364859768 1470549315 1568585936 1706074710 1960732420 2274766280 2352878904 2729719536 2941098630 3412149420 3921464840 4549532560 4705757808 5882197260 6824298840 7842929680 11764394520 13648597680 23528789040 42253783651 84507567302 126761350953 169015134604 211268918255 253522701906 338030269208 422537836510 507045403812 633806754765 676060538416 845075673020 1014090807624 1267613509530 1690151346040 2028181615248 2535227019060 3380302692080 5070454038120 10140908076240