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44345040560 = 2451316076971
BaseRepresentation
bin101001010011001010…
…111001111010110000
311020110111000110121122
4221103022321322300
51211304312244220
632212152041412
73126624424352
oct512312717260
9136414013548
1044345040560
111789668a357
128717093268
134249311992
14220969b0d2
1512481b6425
hexa532b9eb0

44345040560 has 80 divisors (see below), whose sum is σ = 104075338752. Its totient is φ = 17571091200.

The previous prime is 44345040503. The next prime is 44345040569. The reversal of 44345040560 is 6504054344.

44345040560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×443450405602 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44345040560.

It is not an unprimeable number, because it can be changed into a prime (44345040569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6357875 + ... + 6364845.

Almost surely, 244345040560 is an apocalyptic number.

44345040560 is a gapful number since it is divisible by the number (40) 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 44345040560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52037669376).

44345040560 is an abundant number, since it is smaller than the sum of its proper divisors (59730298192).

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

44345040560 is a wasteful number, since it uses less digits than its factorization.

44345040560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7722 (or 7716 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 44345040560 in words is "forty-four billion, three hundred forty-five million, forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 607 655 1048 1214 1310 2096 2428 2620 3035 4856 5240 6070 6971 9712 10480 12140 13942 24280 27884 34855 48560 55768 69710 79517 111536 139420 159034 278840 318068 397585 557680 636136 795170 913201 1272272 1590340 1826402 3180680 3652804 4231397 4566005 6361360 7305608 8462794 9132010 14611216 16925588 18264020 21156985 33851176 36528040 42313970 67702352 73056080 84627940 169255880 338511760 554313007 1108626014 2217252028 2771565035 4434504056 5543130070 8869008112 11086260140 22172520280 44345040560