Search a number
-
+
2313402413140 = 2257137871615121
BaseRepresentation
bin100001101010100001100…
…001110111000001010100
322012011021222210000020001
4201222201201313001110
5300400322004210030
64530432402221044
7326065161030250
oct41524141670124
98164258700201
102313402413140
11812121396485
12314429954784
1313a1cac3c750
147dd7d98d260
154029c0cbcca
hex21aa1877054

2313402413140 has 96 divisors (see below), whose sum is σ = 5986856703744. Its totient is φ = 731222968320.

The previous prime is 2313402413111. The next prime is 2313402413159. The reversal of 2313402413140 is 413142043132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2313402413099 and 2313402413108.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 624780 + ... + 2239900.

It is an arithmetic number, because the mean of its divisors is an integer number (62363090664).

Almost surely, 22313402413140 is an apocalyptic number.

2313402413140 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 2313402413140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993428351872).

2313402413140 is an abundant number, since it is smaller than the sum of its proper divisors (3673454290604).

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

2313402413140 is a wasteful number, since it uses less digits than its factorization.

2313402413140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615937 (or 1615935 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 2313402413140 its reverse (413142043132), we get a palindrome (2726544456272).

The spelling of 2313402413140 in words is "two trillion, three hundred thirteen billion, four hundred two million, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 787 910 1574 1820 3148 3935 5509 7870 10231 11018 15740 20462 22036 27545 40924 51155 55090 71617 102310 110180 143234 204620 286468 358085 716170 1432340 1615121 3230242 6460484 8075605 11305847 16151210 20996573 22611694 32302420 41993146 45223388 56529235 83986292 104982865 113058470 146976011 209965730 226116940 293952022 419931460 587904044 734880055 1271100227 1469760110 2542200454 2939520220 5084400908 6355501135 8897701589 12711002270 16524302951 17795403178 25422004540 33048605902 35590806356 44488507945 66097211804 82621514755 88977015890 115670120657 165243029510 177954031780 231340241314 330486059020 462680482628 578350603285 1156701206570 2313402413140