Search a number
-
+
240175752464140 = 225192321378721061
BaseRepresentation
bin110110100111000001000110…
…011010001100011100001100
31011111101120121010211022022121
4312213001012122030130030
5222440014420112323030
62210451114551022324
7101406061020565063
oct6647010632143414
91144346533738277
10240175752464140
116a588a67995a89
1222b2b80566a9a4
13a4026264ba54c
1443447d5b4b1da
151cb77c864547a
hexda704668c70c

240175752464140 has 144 divisors (see below), whose sum is σ = 559052865393120. Its totient is φ = 86421378954240.

The previous prime is 240175752464077. The next prime is 240175752464161. The reversal of 240175752464140 is 41464257571042.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23179210 + ... + 31900270.

It is an arithmetic number, because the mean of its divisors is an integer number (3882311565230).

Almost surely, 2240175752464140 is an apocalyptic number.

240175752464140 is a gapful number since it is divisible by the number (20) 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 240175752464140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279526432696560).

240175752464140 is an abundant number, since it is smaller than the sum of its proper divisors (318877112928980).

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

240175752464140 is a wasteful number, since it uses less digits than its factorization.

240175752464140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8721272 (or 8721247 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 52.

The spelling of 240175752464140 in words is "two hundred forty trillion, one hundred seventy-five billion, seven hundred fifty-two million, four hundred sixty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 137 190 230 274 380 437 460 529 548 685 874 1058 1370 1748 2116 2185 2603 2645 2740 3151 4370 5206 5290 6302 8740 10051 10412 10580 12604 13015 15755 20102 26030 31510 40204 50255 52060 59869 63020 72473 100510 119738 144946 201020 239476 289892 299345 362365 598690 724730 1197380 1376987 1449460 2753974 5507948 6884935 8721061 13769870 17442122 27539740 34884244 43605305 87210610 165700159 174421220 200584403 331400318 401168806 662800636 802337612 828500795 1002922015 1194785357 1657001590 2005844030 2389570714 3314003180 3811103657 4011688060 4613441269 4779141428 5973926785 7622207314 9226882538 11947853570 15244414628 18453765076 19055518285 22700921783 23067206345 23895707140 27480063211 38111036570 45401843566 46134412690 54960126422 76222073140 87655384111 90803687132 92268825380 109920252844 113504608915 137400316055 175310768222 227009217830 274800632110 350621536444 438276920555 454018435660 522121201009 549601264220 632041453853 876553841110 1044242402018 1264082907706 1753107682220 2088484804036 2528165815412 2610606005045 3160207269265 5221212010090 6320414538530 10442424020180 12008787623207 12640829077060 24017575246414 48035150492828 60043938116035 120087876232070 240175752464140