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244432034212140 = 2232552364111233607
BaseRepresentation
bin110111100100111101000100…
…100100100010100100101100
31012001110110210201211201122100
4313210331010210202210230
5224014233301224242030
62223510305404215100
7102325426446530115
oct6744750444424454
91161413721751570
10244432034212140
117097a052a8a075
12234b869583a490
13a650ac391aac8
144450805c8d20c
151d3d388b58360
hexde4f4492292c

244432034212140 has 288 divisors, whose sum is σ = 744889406317056. Its totient is φ = 64879918202880.

The previous prime is 244432034212117. The next prime is 244432034212159. The reversal of 244432034212140 is 41212430234442.

244432034212140 is a `hidden beast` number, since 2 + 4 + 4 + 4 + 3 + 203 + 421 + 21 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 244432034212095 and 244432034212104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67766018217 + ... + 67766021823.

It is an arithmetic number, because the mean of its divisors is an integer number (2586421549712).

Almost surely, 2244432034212140 is an apocalyptic number.

244432034212140 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 244432034212140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372444703158528).

244432034212140 is an abundant number, since it is smaller than the sum of its proper divisors (500457372104916).

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

244432034212140 is a wasteful number, since it uses less digits than its factorization.

244432034212140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5909 (or 5904 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 244432034212140 its reverse (41212430234442), we get a palindrome (285644464446582).

The spelling of 244432034212140 in words is "two hundred forty-four trillion, four hundred thirty-two billion, thirty-four million, two hundred twelve thousand, one hundred forty".