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2314533113440 = 255101241594299
BaseRepresentation
bin100001101011100100111…
…011001000111001100000
322012021012210101112102221
4201223210323020321200
5300410130434112230
64531140513120424
7326135200566502
oct41534473107140
98167183345387
102314533113440
1181265166a339
123146a4559114
1313a34b27c092
1480049bddd72
15403164c927a
hex21ae4ec8e60

2314533113440 has 96 divisors (see below), whose sum is σ = 5545147053600. Its totient is φ = 912841728000.

The previous prime is 2314533113393. The next prime is 2314533113449. The reversal of 2314533113440 is 443113354132.

It is a junction number, because it is equal to n+sod(n) for n = 2314533113396 and 2314533113405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314533113449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3597411 + ... + 4191709.

It is an arithmetic number, because the mean of its divisors is an integer number (57761948475).

Almost surely, 22314533113440 is an apocalyptic number.

2314533113440 is a gapful number since it is divisible by the number (20) 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 2314533113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772573526800).

2314533113440 is an abundant number, since it is smaller than the sum of its proper divisors (3230613940160).

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

2314533113440 is a wasteful number, since it uses less digits than its factorization.

2314533113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594656 (or 594648 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 2314533113440 its reverse (443113354132), we get a palindrome (2757646467572).

The spelling of 2314533113440 in words is "two trillion, three hundred fourteen billion, five hundred thirty-three million, one hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 241 404 482 505 808 964 1010 1205 1616 1928 2020 2410 3232 3856 4040 4820 7712 8080 9640 16160 19280 24341 38560 48682 97364 121705 194728 243410 389456 486820 594299 778912 973640 1188598 1947280 2377196 2971495 3894560 4754392 5942990 9508784 11885980 19017568 23771960 47543920 60024199 95087840 120048398 143226059 240096796 286452118 300120995 480193592 572904236 600241990 716130295 960387184 1145808472 1200483980 1432260590 1920774368 2291616944 2400967960 2864521180 4583233888 4801935920 5729042360 9603871840 11458084720 14465831959 22916169440 28931663918 57863327836 72329159795 115726655672 144658319590 231453311344 289316639180 462906622688 578633278360 1157266556720 2314533113440