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44057002000 = 2453115633557
BaseRepresentation
bin101001000010000000…
…001000000000010000
311012201102000120222211
4221002000020000100
51210212043031000
632123422241504
73116526223654
oct510200100020
9135642016884
1044057002000
1117759035760
128656726294
13420174146b
1421bd31ca64
15122cc6b7ba
hexa42008010

44057002000 has 160 divisors (see below), whose sum is σ = 116453510784. Its totient is φ = 15987776000.

The previous prime is 44057001991. The next prime is 44057002007. The reversal of 44057002000 is 20075044.

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

It is not an unprimeable number, because it can be changed into a prime (44057002007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12384222 + ... + 12387778.

Almost surely, 244057002000 is an apocalyptic number.

44057002000 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 44057002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58226755392).

44057002000 is an abundant number, since it is smaller than the sum of its proper divisors (72396508784).

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

44057002000 is a wasteful number, since it uses less digits than its factorization.

44057002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4154 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

Adding to 44057002000 its reverse (20075044), we get a palindrome (44077077044).

The spelling of 44057002000 in words is "forty-four billion, fifty-seven million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 563 880 1000 1100 1126 1375 2000 2200 2252 2750 2815 3557 4400 4504 5500 5630 6193 7114 9008 11000 11260 12386 14075 14228 17785 22000 22520 24772 28150 28456 30965 35570 39127 45040 49544 56300 56912 61930 70375 71140 78254 88925 99088 112600 123860 140750 142280 154825 156508 177850 195635 225200 247720 281500 284560 309650 313016 355700 391270 444625 495440 563000 619300 626032 711400 774125 782540 889250 978175 1126000 1238600 1422800 1548250 1565080 1778500 1956350 2002591 2477200 3096500 3130160 3557000 3912700 4005182 4890875 6193000 7114000 7825400 8010364 9781750 10012955 12386000 15650800 16020728 19563500 20025910 22028501 32041456 39127000 40051820 44057002 50064775 78254000 80103640 88114004 100129550 110142505 160207280 176228008 200259100 220285010 250323875 352456016 400518200 440570020 500647750 550712525 801036400 881140040 1001295500 1101425050 1762280080 2002591000 2202850100 2753562625 4005182000 4405700200 5507125250 8811400400 11014250500 22028501000 44057002000