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44005713400 = 235211118116937
BaseRepresentation
bin101000111110111100…
…011110010111111000
311012120211111212021001
4220332330132113320
51210110430312100
632114351054344
73115334251345
oct507674362770
9135524455231
1044005713400
1117732094890
1286415113b4
1341c3c2468c
1421b65ab7cc
1512284d9d6a
hexa3ef1e5f8

44005713400 has 96 divisors (see below), whose sum is σ = 111715595280. Its totient is φ = 15987584000.

The previous prime is 44005713373. The next prime is 44005713467. The reversal of 44005713400 is 431750044.

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, 2589732 + ... + 2606668.

Almost surely, 244005713400 is an apocalyptic number.

44005713400 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 44005713400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55857797640).

44005713400 is an abundant number, since it is smaller than the sum of its proper divisors (67709881880).

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

44005713400 is a wasteful number, since it uses less digits than its factorization.

44005713400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18145 (or 18136 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The spelling of 44005713400 in words is "forty-four billion, five million, seven hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1181 2200 2362 4724 5905 9448 11810 12991 16937 23620 25982 29525 33874 47240 51964 59050 64955 67748 84685 103928 118100 129910 135496 169370 186307 236200 259820 324775 338740 372614 423425 519640 649550 677480 745228 846850 931535 1299100 1490456 1693700 1863070 2598200 3387400 3726140 4657675 7452280 9315350 18630700 20002597 37261400 40005194 80010388 100012985 160020776 200025970 220028567 400051940 440057134 500064925 800103880 880114268 1000129850 1100142835 1760228536 2000259700 2200285670 4000519400 4400571340 5500714175 8801142680 11001428350 22002856700 44005713400