Search a number
-
+
244987354368 = 28321371495209
BaseRepresentation
bin1110010000101001100…
…0100101110100000000
3212102100120221002000100
43210022120211310000
513003213230314433
6304313505122400
723462005103361
oct3441230456400
9772316832010
10244987354368
1194997a7a409
123b591929400
131a1437234a3
14bc00bbbb68
15658cc15b13
hex390a625d00

244987354368 has 216 divisors, whose sum is σ = 716427621000. Its totient is φ = 80506847232.

The previous prime is 244987354349. The next prime is 244987354387. The reversal of 244987354368 is 863453789442.

244987354368 is a `hidden beast` number, since 2 + 4 + 4 + 9 + 87 + 3 + 543 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (244987354349) and next prime (244987354387).

It can be written as a sum of positive squares in 4 ways, for example, as 65184217344 + 179803137024 = 255312^2 + 424032^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47028948 + ... + 47034156.

Almost surely, 2244987354368 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 244987354368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358213810500).

244987354368 is an abundant number, since it is smaller than the sum of its proper divisors (471440266632).

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

244987354368 is a wasteful number, since it uses less digits than its factorization.

244987354368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5517 (or 5500 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 244987354368 in words is "two hundred forty-four billion, nine hundred eighty-seven million, three hundred fifty-four thousand, three hundred sixty-eight".