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244026224640 = 2123451143311
BaseRepresentation
bin1110001101000100011…
…0001011000000000000
3212022212121101121220000
43203101012023000000
512444231203142030
6304034252520000
723426124454032
oct3432106130000
9768777347800
10244026224640
1194544495420
123b363a80000
131a01c575883
14bb4d2abc52
156533661860
hex38d118b000

244026224640 has 1040 divisors, whose sum is σ = 979629970176. Its totient is φ = 57596313600.

The previous prime is 244026224639. The next prime is 244026224657. The reversal of 244026224640 is 46422620442.

244026224640 is a `hidden beast` number, since 2 + 4 + 4 + 0 + 2 + 6 + 2 + 2 + 4 + 640 = 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 = 244026224595 and 244026224604.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 784650085 + ... + 784650395.

Almost surely, 2244026224640 is an apocalyptic number.

244026224640 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 244026224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489814985088).

244026224640 is an abundant number, since it is smaller than the sum of its proper divisors (735603745536).

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

244026224640 is a wasteful number, since it uses less digits than its factorization.

244026224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 375 counting only the distinct ones).

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

The spelling of 244026224640 in words is "two hundred forty-four billion, twenty-six million, two hundred twenty-four thousand, six hundred forty".