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244412873640 = 2332513237131981
BaseRepresentation
bin1110001110100000100…
…1000111101110101000
3212100212112221102121100
43203220021013232220
513001024143424030
6304140504041400
723441531101425
oct3435011075650
9770775842540
10244412873640
1194722771551
123b451463260
131a0816c1270
14bb88798d4c
156557589360
hex38e8247ba8

244412873640 has 384 divisors, whose sum is σ = 905238996480. Its totient is φ = 56735078400.

The previous prime is 244412873633. The next prime is 244412873647. The reversal of 244412873640 is 46378214442.

244412873640 is a `hidden beast` number, since 2 + 4 + 4 + 4 + 1 + 287 + 364 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (244412873633) and next prime (244412873647).

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

It is not an unprimeable number, because it can be changed into a prime (244412873647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7626450 + ... + 7658430.

It is an arithmetic number, because the mean of its divisors is an integer number (2357393220).

Almost surely, 2244412873640 is an apocalyptic number.

244412873640 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 244412873640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452619498240).

244412873640 is an abundant number, since it is smaller than the sum of its proper divisors (660826122840).

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

244412873640 is a wasteful number, since it uses less digits than its factorization.

244412873640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32105 (or 32098 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 244412873640 in words is "two hundred forty-four billion, four hundred twelve million, eight hundred seventy-three thousand, six hundred forty".