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1130425013640 = 233513977470427
BaseRepresentation
bin10000011100110010100…
…101001101010110001000
311000001211021002121012210
4100130302211031112020
5122010102300414030
62223150551105120
7144445662035136
oct20346245152610
94001737077183
101130425013640
113a64574a506a
121631010721a0
13827a222c120
143c9da148756
151e611a7ebb0
hex1073294d588

1130425013640 has 128 divisors (see below), whose sum is σ = 3689793797760. Its totient is φ = 275389784064.

The previous prime is 1130425013621. The next prime is 1130425013657. The reversal of 1130425013640 is 463105240311.

It is a super-3 number, since 3×11304250136403 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1130425013598 and 1130425013607.

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 31 ways as a sum of consecutive naturals, for example, 3583894 + ... + 3886533.

It is an arithmetic number, because the mean of its divisors is an integer number (28826514045).

Almost surely, 21130425013640 is an apocalyptic number.

1130425013640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130425013640 is an abundant number, since it is smaller than the sum of its proper divisors (2559368784120).

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

1130425013640 is a wasteful number, since it uses less digits than its factorization.

1130425013640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7470551 (or 7470547 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 1130425013640 in words is "one trillion, one hundred thirty billion, four hundred twenty-five million, thirteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 97 104 120 130 156 194 195 260 291 312 388 390 485 520 582 776 780 970 1164 1261 1455 1560 1940 2328 2522 2910 3783 3880 5044 5820 6305 7566 10088 11640 12610 15132 18915 25220 30264 37830 50440 75660 151320 7470427 14940854 22411281 29881708 37352135 44822562 59763416 74704270 89645124 97115551 112056405 149408540 179290248 194231102 224112810 291346653 298817080 388462204 448225620 485577755 582693306 724631419 776924408 896451240 971155510 1165386612 1449262838 1456733265 1942311020 2173894257 2330773224 2898525676 2913466530 3623157095 3884622040 4347788514 5797051352 5826933060 7246314190 8695577028 9420208447 10869471285 11653866120 14492628380 17391154056 18840416894 21738942570 28260625341 28985256760 37680833788 43477885140 47101042235 56521250682 75361667576 86955770280 94202084470 113042501364 141303126705 188404168940 226085002728 282606253410 376808337880 565212506820 1130425013640