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44444122002 = 23272149383883
BaseRepresentation
bin101001011001000100…
…110111101110010010
311020201101110022210200
4221121010313232102
51212010143401002
632230051440030
73132236542500
oct513104675622
9136641408720
1044444122002
1117937603745
1287442b6016
1342639c3357
1422188cd670
151251c38b1c
hexa59137b92

44444122002 has 144 divisors (see below), whose sum is σ = 113191603200. Its totient is φ = 12565917504.

The previous prime is 44444121961. The next prime is 44444122031. The reversal of 44444122002 is 20022144444.

44444122002 is a `hidden beast` number, since 4 + 4 + 44 + 412 + 200 + 2 = 666.

44444122002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50332653 + ... + 50333535.

It is an arithmetic number, because the mean of its divisors is an integer number (786052800).

Almost surely, 244444122002 is an apocalyptic number.

44444122002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 44444122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56595801600).

44444122002 is an abundant number, since it is smaller than the sum of its proper divisors (68747481198).

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

44444122002 is a wasteful number, since it uses less digits than its factorization.

44444122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 44444122002 its reverse (20022144444), we get a palindrome (64466266446).

The spelling of 44444122002 in words is "forty-four billion, four hundred forty-four million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 149 294 298 383 441 447 766 882 883 894 1043 1149 1341 1766 2086 2298 2649 2681 2682 3129 3447 5298 5362 6181 6258 6894 7301 7947 8043 9387 12362 14602 15894 16086 18543 18767 18774 21903 24129 37086 37534 43267 43806 48258 55629 56301 57067 65709 86534 111258 112602 114134 129801 131418 131567 168903 171201 259602 263134 337806 338189 342402 389403 394701 399469 513603 676378 778806 789402 798938 920969 1014567 1027206 1184103 1198407 1841938 2029134 2367323 2368206 2396814 2762907 2796283 3043701 3595221 4734646 5525814 5592566 6087402 6446783 7101969 7190442 8288721 8388849 12893566 14203938 16571261 16577442 16777698 19340349 21305907 25166547 33142522 38680698 42611814 49713783 50333094 50390161 58021047 99427566 100780322 116042094 149141349 151170483 298282698 302340966 352731127 453511449 705462254 907022898 1058193381 2116386762 2469117889 3174580143 4938235778 6349160286 7407353667 14814707334 22222061001 44444122002