Search a number
-
+
253131240144 = 24312834110341
BaseRepresentation
bin1110101110111111001…
…1000011001011010000
3220012101011002100002110
43223233303003023100
513121403044141034
6312141544545320
724200554016526
oct3535763031320
9805334070073
10253131240144
1198396a93322
1241085182240
131ab40a04503
14c37461c316
1568b7b83de9
hex3aefcc32d0

253131240144 has 40 divisors (see below), whose sum is σ = 654432211872. Its totient is φ = 84311294080.

The previous prime is 253131240097. The next prime is 253131240181. The reversal of 253131240144 is 441042131352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1993587 + ... + 2116754.

Almost surely, 2253131240144 is an apocalyptic number.

253131240144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253131240144 is an abundant number, since it is smaller than the sum of its proper divisors (401300971728).

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

253131240144 is a wasteful number, since it uses less digits than its factorization.

253131240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111635 (or 4111629 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 253131240144 its reverse (441042131352), we get a palindrome (694173371496).

The spelling of 253131240144 in words is "two hundred fifty-three billion, one hundred thirty-one million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1283 2566 3849 5132 7698 10264 15396 20528 30792 61584 4110341 8220682 12331023 16441364 24662046 32882728 49324092 65765456 98648184 197296368 5273567503 10547135006 15820702509 21094270012 31641405018 42188540024 63282810036 84377080048 126565620072 253131240144