Search a number
-
+
140124121542030 = 235192945718549143
BaseRepresentation
bin11111110111000100110000…
…011111010010110110001110
3200101010201211221211011212110
4133313010300133102312032
5121331243200103321110
61214004044402244450
741341430234011023
oct3767046037226616
9611121757734773
10140124121542030
114071434064494a
1213870bb0956726
136025856763222
142686087b8554a
15112ee3b224a20
hex7f71307d2d8e

140124121542030 has 128 divisors (see below), whose sum is σ = 367005943526400. Its totient is φ = 34104304088064.

The previous prime is 140124121542023. The next prime is 140124121542043. The reversal of 140124121542030 is 30245121421041.

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

It is a congruent number.

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, 1720362 + ... + 16828781.

It is an arithmetic number, because the mean of its divisors is an integer number (2867233933800).

Almost surely, 2140124121542030 is an apocalyptic number.

140124121542030 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 140124121542030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183502971763200).

140124121542030 is an abundant number, since it is smaller than the sum of its proper divisors (226881821984370).

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

140124121542030 is a wasteful number, since it uses less digits than its factorization.

140124121542030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18549658.

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 140124121542030 its reverse (30245121421041), we get a palindrome (170369242963071).

The spelling of 140124121542030 in words is "one hundred forty trillion, one hundred twenty-four billion, one hundred twenty-one million, five hundred forty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 29 30 38 57 58 87 95 114 145 174 190 285 290 435 457 551 570 870 914 1102 1371 1653 2285 2742 2755 3306 4570 5510 6855 8265 8683 13253 13710 16530 17366 26049 26506 39759 43415 52098 66265 79518 86830 130245 132530 198795 251807 260490 397590 503614 755421 1259035 1510842 2518070 3777105 7554210 18549143 37098286 55647429 92745715 111294858 185491430 278237145 352433717 537925147 556474290 704867434 1057301151 1075850294 1613775441 1762168585 2114602302 2689625735 3227550882 3524337170 5286505755 5379251470 8068877205 8476958351 10220577793 10573011510 16137754410 16953916702 20441155586 25430875053 30661733379 42384791755 50861750106 51102888965 61323466758 84769583510 102205777930 127154375265 153308666895 161062208669 245831792179 254308750530 306617333790 322124417338 483186626007 491663584358 737495376537 805311043345 966373252014 1229158960895 1474990753074 1610622086690 2415933130035 2458317921790 3687476882685 4670804051401 4831866260070 7374953765370 9341608102802 14012412154203 23354020257005 28024824308406 46708040514010 70062060771015 140124121542030