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2312132113344 = 263127241393451
BaseRepresentation
bin100001101001010101110…
…100000011001111000000
322012001000110111002111110
4201221111310003033000
5300340221310111334
64530102343243320
7326021534456304
oct41512564031700
98161013432443
102312132113344
1181162a334439
12314134449540
1313a057a03171
147dc9cd9dd04
1540225806ae9
hex21a55d033c0

2312132113344 has 112 divisors (see below), whose sum is σ = 6191285129216. Its totient is φ = 761467392000.

The previous prime is 2312132113331. The next prime is 2312132113349. The reversal of 2312132113344 is 4433112312132.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312132113349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5679819 + ... + 6073269.

Almost surely, 22312132113344 is an apocalyptic number.

2312132113344 is a gapful number since it is divisible by the number (24) 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 2312132113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095642564608).

2312132113344 is an abundant number, since it is smaller than the sum of its proper divisors (3879153015872).

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

2312132113344 is a wasteful number, since it uses less digits than its factorization.

2312132113344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393834 (or 393824 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 2312132113344 its reverse (4433112312132), we get a palindrome (6745244425476).

The spelling of 2312132113344 in words is "two trillion, three hundred twelve billion, one hundred thirty-two million, one hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 241 254 381 482 508 723 762 964 1016 1446 1524 1928 2032 2892 3048 3856 4064 5784 6096 7712 8128 11568 12192 15424 23136 24384 30607 46272 61214 91821 122428 183642 244856 367284 393451 489712 734568 786902 979424 1180353 1469136 1573804 1958848 2360706 2938272 3147608 4721412 5876544 6295216 9442824 12590432 18885648 25180864 37771296 49968277 75542592 94821691 99936554 149904831 189643382 199873108 284465073 299809662 379286764 399746216 568930146 599619324 758573528 799492432 1137860292 1199238648 1517147056 1598984864 2275720584 2398477296 3034294112 3197969728 4551441168 4796954592 6068588224 9102882336 9593909184 12042354757 18205764672 24084709514 36127064271 48169419028 72254128542 96338838056 144508257084 192677676112 289016514168 385355352224 578033028336 770710704448 1156066056672 2312132113344