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244342145020680 = 2333571731381135281
BaseRepresentation
bin110111100011101001010110…
…110000011111001100001000
31012001010212210012110200021000
4313203221112300133030020
5224011300203111130210
62223401122023015000
7102316065064153410
oct6743512660371410
91161125705420230
10244342145020680
1170944a15972093
12234a3189b9a460
13a645499a54c15
14444a319997640
151d3ad773b8ac0
hexde3a56c1f308

244342145020680 has 512 divisors, whose sum is σ = 936892568908800. Its totient is φ = 55486185062400.

The previous prime is 244342145020667. The next prime is 244342145020691. The reversal of 244342145020680 is 86020541243442.

244342145020680 is a `hidden beast` number, since 2 + 4 + 43 + 4 + 21 + 4 + 502 + 0 + 6 + 80 = 666.

244342145020680 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 2×2443421450206802 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1806114640 + ... + 1806249920.

It is an arithmetic number, because the mean of its divisors is an integer number (1829868298650).

Almost surely, 2244342145020680 is an apocalyptic number.

244342145020680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244342145020680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468446284454400).

244342145020680 is an abundant number, since it is smaller than the sum of its proper divisors (692550423888120).

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

244342145020680 is a wasteful number, since it uses less digits than its factorization.

244342145020680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136862 (or 136852 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 244342145020680 in words is "two hundred forty-four trillion, three hundred forty-two billion, one hundred forty-five million, twenty thousand, six hundred eighty".