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44120103400 = 23521746328027
BaseRepresentation
bin101001000101110000…
…110101100111101000
311012212210202110211201
4221011300311213220
51210324221302100
632133554533544
73121223456032
oct510560654750
9135783673751
1044120103400
111779071477a
1286738972b4
134211835c79
1421c7866c52
15123358336a
hexa45c359e8

44120103400 has 96 divisors (see below), whose sum is σ = 108851783040. Its totient is φ = 16573455360.

The previous prime is 44120103347. The next prime is 44120103439. The reversal of 44120103400 is 430102144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1560187 + ... + 1588213.

It is an arithmetic number, because the mean of its divisors is an integer number (1133872740).

Almost surely, 244120103400 is an apocalyptic number.

44120103400 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 44120103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54425891520).

44120103400 is an abundant number, since it is smaller than the sum of its proper divisors (64731679640).

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

44120103400 is a wasteful number, since it uses less digits than its factorization.

44120103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28523 (or 28514 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 44120103400 its reverse (430102144), we get a palindrome (44550205544).

The spelling of 44120103400 in words is "forty-four billion, one hundred twenty million, one hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 463 680 850 926 1700 1852 2315 3400 3704 4630 7871 9260 11575 15742 18520 23150 28027 31484 39355 46300 56054 62968 78710 92600 112108 140135 157420 196775 224216 280270 314840 393550 476459 560540 700675 787100 952918 1121080 1401350 1574200 1905836 2382295 2802700 3811672 4764590 5605400 9529180 11911475 12976501 19058360 23822950 25953002 47645900 51906004 64882505 95291800 103812008 129765010 220600517 259530020 324412525 441201034 519060040 648825050 882402068 1103002585 1297650100 1764804136 2206005170 2595300200 4412010340 5515012925 8824020680 11030025850 22060051700 44120103400