Search a number
-
+
244107845520 = 2435711432771109
BaseRepresentation
bin1110001101010111110…
…1100001111110010000
3212100002021222101200120
43203111331201332100
512444413102024040
6304050330150240
723431135310550
oct3432575417620
9770067871616
10244107845520
11945865733a0
123b387282380
131a033452956
14bb5a077160
15653a8d57d0
hex38d5f61f90

244107845520 has 640 divisors, whose sum is σ = 969760788480. Its totient is φ = 49320714240.

The previous prime is 244107845453. The next prime is 244107845521. The reversal of 244107845520 is 25548701442.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (244107845521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 220114726 + ... + 220115834.

It is an arithmetic number, because the mean of its divisors is an integer number (1515251232).

Almost surely, 2244107845520 is an apocalyptic number.

244107845520 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 244107845520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484880394240).

244107845520 is an abundant number, since it is smaller than the sum of its proper divisors (725652942960).

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

244107845520 is a wasteful number, since it uses less digits than its factorization.

244107845520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 42.

The spelling of 244107845520 in words is "two hundred forty-four billion, one hundred seven million, eight hundred forty-five thousand, five hundred twenty".