Search a number
-
+
3051255255012 = 22321714952976317
BaseRepresentation
bin101100011001101100111…
…111000100111111100100
3101210200211020002000020100
4230121230333010333210
5344442432321130022
610253421033304100
7433305643510326
oct54315477047744
911720736060210
103051255255012
11a77037055468
1241342b265030
1319196966c373
14a797821b616
15545843db1ac
hex2c66cfc4fe4

3051255255012 has 144 divisors (see below), whose sum is σ = 8224258114800. Its totient is φ = 950502014976.

The previous prime is 3051255254977. The next prime is 3051255255047. The reversal of 3051255255012 is 2105525521503.

3051255255012 is a `hidden beast` number, since 3 + 0 + 5 + 125 + 5 + 25 + 501 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3051255254977) and next prime (3051255255047).

It can be written as a sum of positive squares in 8 ways, for example, as 43687688256 + 3007567566756 = 209016^2 + 1734234^2 .

It is a super-2 number, since 2×30512552550122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 483019678 + ... + 483025994.

It is an arithmetic number, because the mean of its divisors is an integer number (57112903575).

Almost surely, 23051255255012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3051255255012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112129057400).

3051255255012 is an abundant number, since it is smaller than the sum of its proper divisors (5173002859788).

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

3051255255012 is a wasteful number, since it uses less digits than its factorization.

3051255255012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11790 (or 11785 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 3051255255012 in words is "three trillion, fifty-one billion, two hundred fifty-five million, two hundred fifty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 149 153 204 298 306 447 596 612 894 1341 1788 2533 2682 5066 5297 5364 6317 7599 10132 10594 12634 15198 15891 18951 21188 22797 25268 30396 31782 37902 45594 47673 56853 63564 75804 90049 91188 95346 107389 113706 180098 190692 214778 227412 270147 322167 360196 429556 540294 644334 789253 810441 941233 966501 1080588 1288668 1578506 1620882 1882466 1933002 2367759 2823699 3157012 3241764 3764932 3866004 4735518 5647398 7103277 8471097 9471036 11294796 13417301 14206554 16000961 16942194 26834602 28413108 32001922 33461149 33884388 40251903 48002883 53669204 64003844 66922298 80503806 96005766 100383447 120755709 133844596 144008649 161007612 192011532 200766894 241511418 288017298 301150341 401533788 483022836 568839533 576034596 602300682 1137679066 1204601364 1706518599 2275358132 3413037198 4985711201 5119555797 6826074396 9971422402 10239111594 14957133603 19942844804 20478223188 29914267206 44871400809 59828534412 84757090417 89742801618 169514180834 179485603236 254271271251 339028361668 508542542502 762813813753 1017085085004 1525627627506 3051255255012