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244400400048 = 24372590328081
BaseRepresentation
bin1110001110011101100…
…1100010011010110000
3212100211200110201001110
43203213121202122300
513001013000300143
6304135340433320
723441320060320
oct3434731423260
9770750421043
10244400400048
11947167219a2
123b449248840
131a07bc4483c
14bb86c6d280
156556423533
hex38e76626b0

244400400048 has 80 divisors (see below), whose sum is σ = 721616638976. Its totient is φ = 69823503360.

The previous prime is 244400400011. The next prime is 244400400071. The reversal of 244400400048 is 840004004442.

244400400048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 244400399988 and 244400400024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8689368 + ... + 8717448.

Almost surely, 2244400400048 is an apocalyptic number.

244400400048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

244400400048 is an abundant number, since it is smaller than the sum of its proper divisors (477216238928).

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

244400400048 is a wasteful number, since it uses less digits than its factorization.

244400400048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54002 (or 53996 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

The spelling of 244400400048 in words is "two hundred forty-four billion, four hundred million, four hundred thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 25903 28081 51806 56162 77709 84243 103612 112324 155418 168486 181321 196567 207224 224648 310836 336972 362642 393134 414448 449296 543963 589701 621672 673944 725284 786268 1087926 1179402 1243344 1347888 1450568 1572536 2175852 2358804 2901136 3145072 4351704 4717608 8703408 9435216 727382143 1454764286 2182146429 2909528572 4364292858 5091675001 5819057144 8728585716 10183350002 11638114288 15275025003 17457171432 20366700004 30550050006 34914342864 40733400008 61100100012 81466800016 122200200024 244400400048