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254312412420 = 223511385321837
BaseRepresentation
bin1110110011011000110…
…0110111010100000100
3220022102110200002211210
43230312030313110010
513131312434144140
6312455101331420
724242045560503
oct3546614672404
9808373602753
10254312412420
11989427aa560
1241354866b70
131ac9b636011
14c44744a83a
156936700d80
hex3b36337504

254312412420 has 48 divisors (see below), whose sum is σ = 776808825408. Its totient is φ = 61651493760.

The previous prime is 254312412413. The next prime is 254312412433. The reversal of 254312412420 is 24214213452.

It is a happy number.

254312412420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2543124124202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 192660259 + ... + 192661578.

It is an arithmetic number, because the mean of its divisors is an integer number (16183517196).

Almost surely, 2254312412420 is an apocalyptic number.

254312412420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254312412420 is an abundant number, since it is smaller than the sum of its proper divisors (522496412988).

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

254312412420 is a wasteful number, since it uses less digits than its factorization.

254312412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385321860 (or 385321858 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 254312412420 its reverse (24214213452), we get a palindrome (278526625872).

The spelling of 254312412420 in words is "two hundred fifty-four billion, three hundred twelve million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 385321837 770643674 1155965511 1541287348 1926609185 2311931022 3853218370 4238540207 4623862044 5779827555 7706436740 8477080414 11559655110 12715620621 16954160828 21192701035 23119310220 25431241242 42385402070 50862482484 63578103105 84770804140 127156206210 254312412420