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2304034144412 = 22721113157523597
BaseRepresentation
bin100001100001110011001…
…000110000000010011100
322011021010002201122111012
4201201303020300002130
5300222130220110122
64522243023514352
7325314054043400
oct41416310600234
98137102648435
102304034144412
11809154232530
123126544589b8
131393670aab80
147d7316b3100
153edee9087e2
hex2187323009c

2304034144412 has 144 divisors (see below), whose sum is σ = 5545455739488. Its totient is φ = 823344238080.

The previous prime is 2304034144393. The next prime is 2304034144421. The reversal of 2304034144412 is 2144414304032.

It is a congruent number.

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, 4138598 + ... + 4662194.

It is an arithmetic number, because the mean of its divisors is an integer number (38510109302).

Almost surely, 22304034144412 is an apocalyptic number.

2304034144412 is a gapful number since it is divisible by the number (22) 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 2304034144412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772727869744).

2304034144412 is an abundant number, since it is smaller than the sum of its proper divisors (3241421595076).

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

2304034144412 is a wasteful number, since it uses less digits than its factorization.

2304034144412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523796 (or 523787 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 2304034144412 its reverse (2144414304032), we get a palindrome (4448448448444).

The spelling of 2304034144412 in words is "two trillion, three hundred four billion, thirty-four million, one hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 157 182 196 286 308 314 364 539 572 628 637 1001 1078 1099 1274 1727 2002 2041 2156 2198 2548 3454 4004 4082 4396 6908 7007 7693 8164 12089 14014 14287 15386 22451 24178 28028 28574 30772 44902 48356 57148 84623 89804 100009 157157 169246 200018 314314 338492 400036 523597 628628 1047194 1100099 2094388 2200198 3665179 4400396 5759567 6806761 7330358 11519134 13613522 14660716 23038268 25656253 27227044 40316969 47647327 51312506 74874371 80633938 82204729 95294654 102625012 149748742 161267876 164409458 190589308 282218783 299497484 328818916 333531289 524120597 564437566 575433103 667062578 904252019 1048241194 1068661477 1128875132 1150866206 1334125156 1808504038 2096482388 2137322954 2301732412 3617008076 3668844179 4028031721 4274645908 6329764133 7337688358 7480630339 8056063442 11755276247 12659528266 14675376716 14961260678 16112126884 23510552494 25319056532 29922521356 44308348931 47021104988 52364412373 82286933729 88616697862 104728824746 164573867458 177233395724 209457649492 329147734916 576008536103 1152017072206 2304034144412