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44431214200 = 23522692812939
BaseRepresentation
bin101001011000010011…
…101000011001111000
311020200111011112121221
4221120103220121320
51211443342323300
632224511041424
73132022042432
oct513023503170
9136614145557
1044431214200
111793029793a
12873bb10274
1342611240b9
142216ccd652
151250a3931a
hexa584e8678

44431214200 has 96 divisors (see below), whose sum is σ = 104090994000. Its totient is φ = 17637401600.

The previous prime is 44431214189. The next prime is 44431214227. The reversal of 44431214200 is 241213444.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 15116331 + ... + 15119269.

Almost surely, 244431214200 is an apocalyptic number.

44431214200 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 44431214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52045497000).

44431214200 is an abundant number, since it is smaller than the sum of its proper divisors (59659779800).

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

44431214200 is a wasteful number, since it uses less digits than its factorization.

44431214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505 (or 3496 counting only the distinct ones).

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

Adding to 44431214200 its reverse (241213444), we get a palindrome (44672427644).

The spelling of 44431214200 in words is "forty-four billion, four hundred thirty-one million, two hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 269 281 538 562 1076 1124 1345 1405 2152 2248 2690 2810 2939 5380 5620 5878 6725 7025 10760 11240 11756 13450 14050 14695 23512 26900 28100 29390 53800 56200 58780 73475 75589 117560 146950 151178 293900 302356 377945 587800 604712 755890 790591 825859 1511780 1581182 1651718 1889725 3023560 3162364 3303436 3779450 3952955 4129295 6324728 6606872 7558900 7905910 8258590 15117800 15811820 16517180 19764775 20646475 31623640 33034360 39529550 41292950 79059100 82585900 158118200 165171800 222156071 444312142 888624284 1110780355 1777248568 2221560710 4443121420 5553901775 8886242840 11107803550 22215607100 44431214200