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44103424120 = 23572167134741
BaseRepresentation
bin101001000100110001…
…001101100001111000
311012211122101002011121
4221010301031201320
51210310434032440
632132201235024
73120631630300
oct510461154170
9135748332147
1044103424120
1117782262348
12866a192a74
13420b246182
1421c5564600
151231d8b34a
hexa44c4d878

44103424120 has 96 divisors (see below), whose sum is σ = 116126045280. Its totient is φ = 15030516480.

The previous prime is 44103424109. The next prime is 44103424147. The reversal of 44103424120 is 2142430144.

It is a super-2 number, since 2×441034241202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259950 + ... + 394690.

It is an arithmetic number, because the mean of its divisors is an integer number (1209646305).

Almost surely, 244103424120 is an apocalyptic number.

44103424120 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 44103424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58063022640).

44103424120 is an abundant number, since it is smaller than the sum of its proper divisors (72022621160).

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

44103424120 is a wasteful number, since it uses less digits than its factorization.

44103424120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134933 (or 134922 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 44103424120 its reverse (2142430144), we get a palindrome (46245854264).

The spelling of 44103424120 in words is "forty-four billion, one hundred three million, four hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 167 196 245 280 334 392 490 668 835 980 1169 1336 1670 1960 2338 3340 4676 5845 6680 8183 9352 11690 16366 23380 32732 40915 46760 65464 81830 134741 163660 269482 327320 538964 673705 943187 1077928 1347410 1886374 2694820 3772748 4715935 5389640 6602309 7545496 9431870 13204618 18863740 22501747 26409236 33011545 37727480 45003494 52818472 66023090 90006988 112508735 132046180 157512229 180013976 225017470 264092360 315024458 450034940 630048916 787561145 900069880 1102585603 1260097832 1575122290 2205171206 3150244580 4410342412 5512928015 6300489160 8820684824 11025856030 22051712060 44103424120