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144631862056 = 231179147114143
BaseRepresentation
bin1000011010110010111…
…0110001001100101000
3111211022122100211222201
42012230232301030220
54332201224041211
6150235402425544
713310053354213
oct2065456611450
9454278324881
10144631862056
1156379a08710
1224044b022b4
131083c386986
14700086077a
153b676aa0c1
hex21acbb1328

144631862056 has 64 divisors (see below), whose sum is σ = 299807539200. Its totient is φ = 64860868800.

The previous prime is 144631861981. The next prime is 144631862069. The reversal of 144631862056 is 650268136441.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 144631861997 and 144631862015.

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 15 ways as a sum of consecutive naturals, for example, 10219321 + ... + 10233463.

It is an arithmetic number, because the mean of its divisors is an integer number (4684492800).

Almost surely, 2144631862056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144631862056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149903769600).

144631862056 is an abundant number, since it is smaller than the sum of its proper divisors (155175677144).

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

144631862056 is a wasteful number, since it uses less digits than its factorization.

144631862056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15710 (or 15706 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

Adding to 144631862056 its reverse (650268136441), we get a palindrome (794899998497).

The spelling of 144631862056 in words is "one hundred forty-four billion, six hundred thirty-one million, eight hundred sixty-two thousand, fifty-six".

Divisors: 1 2 4 8 11 22 44 79 88 158 316 632 869 1471 1738 2942 3476 5884 6952 11768 14143 16181 28286 32362 56572 64724 113144 116209 129448 155573 232418 311146 464836 622292 929672 1117297 1244584 1278299 2234594 2556598 4469188 5113196 8938376 10226392 12290267 20804353 24580534 41608706 49161068 83217412 98322136 166434824 228847883 457695766 915391532 1643543887 1830783064 3287087774 6574175548 13148351096 18078982757 36157965514 72315931028 144631862056