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44131321300 = 225211232960149
BaseRepresentation
bin101001000110011011…
…101000010111010100
311012220120212101220111
4221012123220113110
51210340104240200
632135035212404
73121421020213
oct510633502724
9135816771814
1044131321300
1117796a86970
1286775a7104
134213c62c91
1421c914707a
15123454c0ba
hexa466e85d4

44131321300 has 144 divisors (see below), whose sum is σ = 112774032000. Its totient is φ = 14820467200.

The previous prime is 44131321291. The next prime is 44131321307. The reversal of 44131321300 is 312313144.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44131321307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 703626 + ... + 763774.

It is an arithmetic number, because the mean of its divisors is an integer number (783153000).

Almost surely, 244131321300 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 44131321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56387016000).

44131321300 is an abundant number, since it is smaller than the sum of its proper divisors (68642710700).

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

44131321300 is a wasteful number, since it uses less digits than its factorization.

44131321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60226 (or 60219 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 44131321300 its reverse (312313144), we get a palindrome (44443634444).

The spelling of 44131321300 in words is "forty-four billion, one hundred thirty-one million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 29 44 46 50 55 58 92 100 110 115 116 145 220 230 253 275 290 319 460 506 550 575 580 638 667 725 1012 1100 1150 1265 1276 1334 1450 1595 2300 2530 2668 2900 3190 3335 5060 6325 6380 6670 7337 7975 12650 13340 14674 15950 16675 25300 29348 31900 33350 36685 60149 66700 73370 120298 146740 183425 240596 300745 366850 601490 661639 733700 1202980 1323278 1383427 1503725 1744321 2646556 2766854 3007450 3308195 3488642 5533708 6014900 6616390 6917135 6977284 8721605 13232780 13834270 15217697 16540975 17443210 19187531 27668540 30435394 33081950 34585675 34886420 38375062 40119383 43608025 60870788 66163900 69171350 76088485 76750124 80238766 87216050 95937655 138342700 152176970 160477532 174432100 191875310 200596915 304353940 380442425 383750620 401193830 441313213 479688275 760884850 802387660 882626426 959376550 1002984575 1521769700 1765252852 1918753100 2005969150 2206566065 4011938300 4413132130 8826264260 11032830325 22065660650 44131321300