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44103130400 = 2552729271571
BaseRepresentation
bin101001000100110000…
…000101110100100000
311012211121211011021002
4221010300011310200
51210310400133100
632132151051132
73120626265050
oct510460056440
9135747734232
1044103130400
11177820816aa
12866a070aa8
13420b172584
1421c54c9560
151231d2e2d5
hexa44c05d20

44103130400 has 144 divisors (see below), whose sum is σ = 127291227840. Its totient is φ = 14599603200.

The previous prime is 44103130363. The next prime is 44103130403. The reversal of 44103130400 is 403130144.

It is a happy number.

It is a super-2 number, since 2×441031304002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (44103130403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26615 + ... + 298185.

It is an arithmetic number, because the mean of its divisors is an integer number (883966860).

Almost surely, 244103130400 is an apocalyptic number.

44103130400 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 44103130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63645613920).

44103130400 is an abundant number, since it is smaller than the sum of its proper divisors (83188097440).

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

44103130400 is a wasteful number, since it uses less digits than its factorization.

44103130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271627 (or 271614 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 44103130400 its reverse (403130144), we get a palindrome (44506260544).

The spelling of 44103130400 in words is "forty-four billion, one hundred three million, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 50 56 58 70 80 100 112 116 140 145 160 175 200 203 224 232 280 290 350 400 406 464 560 580 700 725 800 812 928 1015 1120 1160 1400 1450 1624 2030 2320 2800 2900 3248 4060 4640 5075 5600 5800 6496 8120 10150 11600 16240 20300 23200 32480 40600 81200 162400 271571 543142 1086284 1357855 1900997 2172568 2715710 3801994 4345136 5431420 6789275 7603988 7875559 8690272 9504985 10862840 13578550 15207976 15751118 19009970 21725680 27157100 30415952 31502236 38019940 39377795 43451360 47524925 54314200 55128913 60831904 63004472 76039880 78755590 95049850 108628400 110257826 126008944 152079760 157511180 190099700 196888975 217256800 220515652 252017888 275644565 304159520 315022360 380199400 393777950 441031304 551289130 630044720 760398800 787555900 882062608 1102578260 1260089440 1378222825 1520797600 1575111800 1764125216 2205156520 2756445650 3150223600 4410313040 5512891300 6300447200 8820626080 11025782600 22051565200 44103130400