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2413022144 = 26133193557
BaseRepresentation
bin1000111111010011…
…1100101111000000
320020011112020002112
42033310330233000
514420213202034
61035235234452
7113540230661
oct21764745700
96204466075
102413022144
1110290a7285
12574148a28
132c5bc7c70
1418c68d368
15e1c997ce
hex8fd3cbc0

2413022144 has 56 divisors (see below), whose sum is σ = 5323075968. Its totient is φ = 1077765120.

The previous prime is 2413022141. The next prime is 2413022147. The reversal of 2413022144 is 4412203142.

It is an interprime number because it is at equal distance from previous prime (2413022141) and next prime (2413022147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413022141) 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 7 ways as a sum of consecutive naturals, for example, 20987 + ... + 72570.

It is an arithmetic number, because the mean of its divisors is an integer number (95054928).

Almost surely, 22413022144 is an apocalyptic number.

It is an amenable number.

2413022144 is an abundant number, since it is smaller than the sum of its proper divisors (2910053824).

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

2413022144 is a wasteful number, since it uses less digits than its factorization.

2413022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93613 (or 93603 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2413022144 is about 49122.5217593722. The cubic root of 2413022144 is about 1341.2830482128.

Adding to 2413022144 its reverse (4412203142), we get a palindrome (6825225286).

The spelling of 2413022144 in words is "two billion, four hundred thirteen million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 208 248 403 416 496 806 832 992 1612 1984 3224 6448 12896 25792 93557 187114 374228 748456 1216241 1496912 2432482 2900267 2993824 4864964 5800534 5987648 9729928 11601068 19459856 23202136 37703471 38919712 46404272 75406942 77839424 92808544 150813884 185617088 301627768 603255536 1206511072 2413022144