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114684740730 = 23357113536989
BaseRepresentation
bin110101011001110111…
…1100100010001111010
3101222000120120110112000
41222303233210101322
53334333243200410
6124404020001430
711166665132460
oct1526357442172
9358016513460
10114684740730
114470160116a
121a287830276
13aa78c47341
14579d45c830
152eb3528dc0
hex1ab3be447a

114684740730 has 128 divisors (see below), whose sum is σ = 352609113600. Its totient is φ = 25981627392.

The previous prime is 114684740717. The next prime is 114684740773. The reversal of 114684740730 is 37047486411.

114684740730 is a `hidden beast` number, since 1 + 146 + 8 + 474 + 0 + 7 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54925 + ... + 482064.

It is an arithmetic number, because the mean of its divisors is an integer number (2754758700).

Almost surely, 2114684740730 is an apocalyptic number.

114684740730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114684740730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176304556800).

114684740730 is an abundant number, since it is smaller than the sum of its proper divisors (237924372870).

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

114684740730 is a wasteful number, since it uses less digits than its factorization.

114684740730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537125 (or 537119 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 114684740730 in words is "one hundred fourteen billion, six hundred eighty-four million, seven hundred forty thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 113 126 135 189 210 226 270 315 339 378 565 630 678 791 945 1017 1130 1582 1695 1890 2034 2373 3051 3390 3955 4746 5085 6102 7119 7910 10170 11865 14238 15255 21357 23730 30510 35595 42714 71190 106785 213570 536989 1073978 1610967 2684945 3221934 3758923 4832901 5369890 7517846 8054835 9665802 11276769 14498703 16109670 18794615 22553538 24164505 28997406 33830307 37589230 48329010 56383845 60679757 67660614 72493515 101490921 112767690 121359514 144987030 169151535 182039271 202981842 303398785 338303070 364078542 424758299 507454605 546117813 606797570 849516598 910196355 1014909210 1092235626 1274274897 1638353439 1820392710 2123791495 2548549794 2730589065 3276706878 3822824691 4247582990 5461178130 6371374485 7645649382 8191767195 11468474073 12742748970 16383534390 19114123455 22936948146 38228246910 57342370365 114684740730