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10140152634240 = 273517310666441
BaseRepresentation
bin1001001110001111000000…
…1100100001101110000000
31022220101111200010202101120
42103203300030201232000
52312114013033243430
633322153302232240
72064413302154346
oct223436014415600
938811450122346
1010140152634240
11325a461899562
121179290725680
1358729b52c425
14270b00b2d996
15128b7e264610
hex938f0321b80

10140152634240 has 128 divisors (see below), whose sum is σ = 34223015250720. Its totient is φ = 2544979476480.

The previous prime is 10140152634221. The next prime is 10140152634307. The reversal of 10140152634240 is 4243625104101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×101401526342402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155300581 + ... + 155365860.

Almost surely, 210140152634240 is an apocalyptic number.

10140152634240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10140152634240 is an abundant number, since it is smaller than the sum of its proper divisors (24082862616480).

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

10140152634240 is a wasteful number, since it uses less digits than its factorization.

10140152634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310666480 (or 310666468 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 10140152634240 its reverse (4243625104101), we get a palindrome (14383777738341).

The spelling of 10140152634240 in words is "ten trillion, one hundred forty billion, one hundred fifty-two million, six hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 5440 6528 8160 10880 16320 32640 310666441 621332882 931999323 1242665764 1553332205 1863998646 2485331528 3106664410 3727997292 4659996615 4970663056 5281329497 6213328820 7455994584 9319993230 9941326112 10562658994 12426657640 14911989168 15843988491 18639986460 19882652224 21125317988 24853315280 26406647485 29823978336 31687976982 37279972920 39765304448 42250635976 49706630560 52813294970 59647956672 63375953964 74559945840 79219942455 84501271952 99413261120 105626589940 119295913344 126751907928 149119891680 158439884910 169002543904 198826522240 211253179880 253503815856 298239783360 316879769820 338005087808 422506359760 507007631712 596479566720 633759539640 676010175616 845012719520 1014015263424 1267519079280 1690025439040 2028030526848 2535038158560 3380050878080 5070076317120 10140152634240