Search a number
-
+
10244387602944 = 293411312333109
BaseRepresentation
bin1001010100010011010100…
…0101011000001000000000
31100021100112222121210120000
42111010311011120020000
52320321001211243234
633442112351320000
72105063321605365
oct225046505301000
940240488553500
1010244387602944
11329a6908052a0
121195520820000
1359407053c2c1
14275b8c3ca46c
1512b730189899
hex95135158200

10244387602944 has 800 divisors, whose sum is σ = 34591426721280. Its totient is φ = 2990363443200.

The previous prime is 10244387602909. The next prime is 10244387602963. The reversal of 10244387602944 is 44920678344201.

10244387602944 is a `hidden beast` number, since 1 + 0 + 2 + 443 + 87 + 60 + 29 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3295073262 + ... + 3295076370.

Almost surely, 210244387602944 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 10244387602944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17295713360640).

10244387602944 is an abundant number, since it is smaller than the sum of its proper divisors (24347039118336).

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

10244387602944 is a wasteful number, since it uses less digits than its factorization.

10244387602944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 10244387602944 in words is "ten trillion, two hundred forty-four billion, three hundred eighty-seven million, six hundred two thousand, nine hundred forty-four".