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44444113000 = 2353715794021
BaseRepresentation
bin101001011001000100…
…110101100001101000
311020201101102212110021
4221121010311201220
51212010143104000
632230051330224
73132236504320
oct513104654150
9136641385407
1044444113000
11179375a7a01
1287442b0974
1342639bc221
1422188ca280
151251c3611a
hexa59135868

44444113000 has 128 divisors (see below), whose sum is σ = 118961107200. Its totient is φ = 15224544000.

The previous prime is 44444112983. The next prime is 44444113097. The reversal of 44444113000 is 31144444.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11050990 + ... + 11055010.

It is an arithmetic number, because the mean of its divisors is an integer number (929383650).

Almost surely, 244444113000 is an apocalyptic number.

44444113000 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 44444113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59480553600).

44444113000 is an abundant number, since it is smaller than the sum of its proper divisors (74516994200).

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

44444113000 is a wasteful number, since it uses less digits than its factorization.

44444113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628 (or 5614 counting only the distinct ones).

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

Adding to 44444113000 its reverse (31144444), we get a palindrome (44475257444).

The spelling of 44444113000 in words is "forty-four billion, four hundred forty-four million, one hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1579 1750 3158 3500 4021 6316 7000 7895 8042 11053 12632 15790 16084 20105 22106 28147 31580 32168 39475 40210 44212 55265 56294 63160 78950 80420 88424 100525 110530 112588 140735 157900 160840 197375 201050 221060 225176 276325 281470 315800 394750 402100 442120 502625 552650 562940 703675 789500 804200 1005250 1105300 1125880 1381625 1407350 1579000 2010500 2210600 2763250 2814700 3518375 4021000 5526500 5629400 6349159 7036750 11053000 12698318 14073500 25396636 28147000 31745795 44444113 50793272 63491590 88888226 126983180 158728975 177776452 222220565 253966360 317457950 355552904 444441130 634915900 793644875 888882260 1111102825 1269831800 1587289750 1777764520 2222205650 3174579500 4444411300 5555514125 6349159000 8888822600 11111028250 22222056500 44444113000