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44211002000 = 24531111871693
BaseRepresentation
bin101001001011001011…
…100101101010010000
311020010010210121021112
4221023023211222100
51211021004031000
632151003112452
73123406213364
oct511313455220
9136103717245
1044211002000
1117827a5a190
12869a212728
134227610c19
1421d59692a4
15123b53b235
hexa4b2e5a90

44211002000 has 160 divisors (see below), whose sum is σ = 116787775104. Its totient is φ = 16053696000.

The previous prime is 44211001963. The next prime is 44211002027. The reversal of 44211002000 is 20011244.

It is a super-2 number, since 2×442110020002 (a number of 22 digits) contains 22 as substring.

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, 26113154 + ... + 26114846.

Almost surely, 244211002000 is an apocalyptic number.

44211002000 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 44211002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58393887552).

44211002000 is an abundant number, since it is smaller than the sum of its proper divisors (72576773104).

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

44211002000 is a wasteful number, since it uses less digits than its factorization.

44211002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 44211002000 its reverse (20011244), we get a palindrome (44231013244).

The spelling of 44211002000 in words is "forty-four billion, two hundred eleven million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1187 1375 1693 2000 2200 2374 2750 3386 4400 4748 5500 5935 6772 8465 9496 11000 11870 13057 13544 16930 18623 18992 22000 23740 26114 27088 29675 33860 37246 42325 47480 52228 59350 65285 67720 74492 84650 93115 94960 104456 118700 130570 135440 148375 148984 169300 186230 208912 211625 237400 261140 296750 297968 326425 338600 372460 423250 465575 474800 522280 593500 652850 677200 744920 846500 931150 1044560 1187000 1305700 1489840 1632125 1693000 1862300 2009591 2327875 2374000 2611400 3264250 3386000 3724600 4019182 4655750 5222800 6528500 7449200 8038364 9311500 10047955 13057000 16076728 18623000 20095910 22105501 26114000 32153456 37246000 40191820 44211002 50239775 80383640 88422004 100479550 110527505 160767280 176844008 200959100 221055010 251198875 353688016 401918200 442110020 502397750 552637525 803836400 884220040 1004795500 1105275050 1768440080 2009591000 2210550100 2763187625 4019182000 4421100200 5526375250 8842200400 11052750500 22105501000 44211002000