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44334121224 = 23323317253361
BaseRepresentation
bin101001010010100001…
…010000000100001000
311020102201110201002210
4221102201100010020
51211244013334344
632211122025120
73126432545511
oct512241200410
9136381421083
1044334121224
1117890501508
1287134a81a0
134246c8a833
142208057a08
15124725adb9
hexa52850108

44334121224 has 64 divisors (see below), whose sum is σ = 116019527040. Its totient is φ = 14090869760.

The previous prime is 44334121199. The next prime is 44334121231. The reversal of 44334121224 is 42212143344.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44334121191 and 44334121200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48304 + ... + 301664.

It is an arithmetic number, because the mean of its divisors is an integer number (1812805110).

Almost surely, 244334121224 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 44334121224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58009763520).

44334121224 is an abundant number, since it is smaller than the sum of its proper divisors (71685405816).

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

44334121224 is a wasteful number, since it uses less digits than its factorization.

44334121224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253710 (or 253706 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 44334121224 its reverse (42212143344), we get a palindrome (86546264568).

The spelling of 44334121224 in words is "forty-four billion, three hundred thirty-four million, one hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 317 552 634 951 1268 1902 2536 3804 7291 7608 14582 21873 29164 43746 58328 87492 174984 253361 506722 760083 1013444 1520166 2026888 3040332 5827303 6080664 11654606 17481909 23309212 34963818 46618424 69927636 80315437 139855272 160630874 240946311 321261748 481892622 642523496 963785244 1847255051 1927570488 3694510102 5541765153 7389020204 11083530306 14778040408 22167060612 44334121224