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3064356472140 = 22325120136173919
BaseRepresentation
bin101100100101111001111…
…000010000010101001100
3101211221122021022210111100
4230211321320100111030
5400201300224102030
610303425042023100
7434251416146535
oct54457170202514
911757567283440
103064356472140
11a8164a382837
12415a86947a90
13192c769bc852
14a845c1b368c
1554a9e683360
hex2c979e1054c

3064356472140 has 144 divisors (see below), whose sum is σ = 9307900667520. Its totient is φ = 816047308800.

The previous prime is 3064356472123. The next prime is 3064356472237. The reversal of 3064356472140 is 412746534603.

3064356472140 is a `hidden beast` number, since 3 + 0 + 6 + 4 + 3 + 564 + 72 + 14 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 781921101 + ... + 781925019.

It is an arithmetic number, because the mean of its divisors is an integer number (64638199080).

Almost surely, 23064356472140 is an apocalyptic number.

3064356472140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3064356472140 is an abundant number, since it is smaller than the sum of its proper divisors (6243544195380).

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

3064356472140 is a wasteful number, since it uses less digits than its factorization.

3064356472140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8752 (or 8747 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 3064356472140 in words is "three trillion, sixty-four billion, three hundred fifty-six million, four hundred seventy-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1201 2402 3603 3617 3919 4804 6005 7206 7234 7838 10809 10851 11757 12010 14412 14468 15676 18015 18085 19595 21618 21702 23514 24020 32553 35271 36030 36170 39190 43236 43404 47028 54045 54255 58785 65106 70542 72060 72340 78380 108090 108510 117570 130212 141084 162765 176355 216180 217020 235140 325530 352710 651060 705420 4344017 4706719 8688034 9413438 13032051 14120157 14175023 17376068 18826876 21720085 23533595 26064102 28240314 28350046 39096153 42360471 42525069 43440170 47067190 52128204 56480628 56700092 65160255 70600785 70875115 78192306 84720942 85050138 86880340 94134380 127575207 130320510 141201570 141750230 156384612 169441884 170100276 195480765 211802355 212625345 255150414 260641020 282403140 283500460 390961530 423604710 425250690 510300828 637876035 781923060 847209420 850501380 1275752070 2551504140 17024202623 34048405246 51072607869 68096810492 85121013115 102145215738 153217823607 170242026230 204290431476 255363039345 306435647214 340484052460 510726078690 612871294428 766089118035 1021452157380 1532178236070 3064356472140