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313303402214244 = 2232131674327926437
BaseRepresentation
bin100011100111100101010000…
…1111111101111001101100100
31112002022111211210020112102200
41013033022201333233031210
5312031130331431323434
63030201332423134500
7122664265242513111
oct10717124177571544
91462274753215380
10313303402214244
1190912254824422
122b18036b5a4430
13105a84cba0b750
145751d73785908
152634b191e8199
hex11cf2a1fef364

313303402214244 has 144 divisors (see below), whose sum is σ = 858187772053248. Its totient is φ = 95801546098944.

The previous prime is 313303402214233. The next prime is 313303402214249. The reversal of 313303402214244 is 442412204303313.

313303402214244 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 0 + 3 + 4 + 0 + 221 + 424 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 313303402214199 and 313303402214208.

It is not an unprimeable number, because it can be changed into a prime (313303402214249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337717794 + ... + 338644230.

Almost surely, 2313303402214244 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 313303402214244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429093886026624).

313303402214244 is an abundant number, since it is smaller than the sum of its proper divisors (544884369839004).

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

313303402214244 is a wasteful number, since it uses less digits than its factorization.

313303402214244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930954 (or 930949 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 313303402214244 its reverse (442412204303313), we get a palindrome (755715606517557).

The spelling of 313303402214244 in words is "three hundred thirteen trillion, three hundred three billion, four hundred two million, two hundred fourteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 167 234 334 468 501 668 1002 1503 2004 2171 3006 4327 4342 6012 6513 8654 8684 12981 13026 17308 19539 25962 26052 38943 39078 51924 56251 77886 78156 112502 155772 168753 225004 337506 506259 675012 722609 926437 1012518 1445218 1852874 2025036 2167827 2779311 2890436 3705748 4335654 5558622 6503481 8337933 8671308 9393917 11117244 12043681 13006962 16675866 18787834 24087362 26013924 28181751 33351732 36131043 37575668 48174724 56363502 72262086 84545253 108393129 112727004 144524172 154714979 169090506 216786258 309429958 338181012 433572516 464144937 618859916 928289874 1392434811 1856579748 2011294727 2784869622 4008692899 4022589454 5569739244 6033884181 8017385798 8045178908 12026078697 12067768362 16034771596 18101652543 24052157394 24135536724 36078236091 36203305086 48104314788 52113007687 72156472182 72406610172 104226015374 144312944364 156339023061 208452030748 312678046122 469017069183 625356092244 669451714133 938034138366 1338903428266 1876068276732 2008355142399 2677806856532 4016710284798 6025065427197 8033420569596 8702872283729 12050130854394 17405744567458 24100261708788 26108616851187 34811489134916 52217233702374 78325850553561 104434467404748 156651701107122 313303402214244