Search a number
-
+
123302340241314 = 23131931101113235159
BaseRepresentation
bin11100000010010010010000…
…001100001010011110100010
3121011120120220002112220200220
4130002102100030022132202
5112130141143100210224
61114124151345023510
734654204636116603
oct3402222014123642
9534516802486626
10123302340241314
1136319257643113
12119b49a0324b96
1353a548c87cc40
142263c17c0ddaa
15e3c59bc28279
hex70249030a7a2

123302340241314 has 256 divisors, whose sum is σ = 294007040409600. Its totient is φ = 34133654016000.

The previous prime is 123302340241313. The next prime is 123302340241337. The reversal of 123302340241314 is 413142043203321.

It is not an unprimeable number, because it can be changed into a prime (123302340241313) 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 127 ways as a sum of consecutive naturals, for example, 524218467 + ... + 524453625.

It is an arithmetic number, because the mean of its divisors is an integer number (1148465001600).

Almost surely, 2123302340241314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123302340241314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147003520204800).

123302340241314 is an abundant number, since it is smaller than the sum of its proper divisors (170704700168286).

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

123302340241314 is a wasteful number, since it uses less digits than its factorization.

123302340241314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235441.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 123302340241314 its reverse (413142043203321), we get a palindrome (536444383444635).

The spelling of 123302340241314 in words is "one hundred twenty-three trillion, three hundred two billion, three hundred forty million, two hundred forty-one thousand, three hundred fourteen".