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44707401006 = 231731472831063
BaseRepresentation
bin101001101000110001…
…001100110100101110
311021101201212021200220
4221220301030310232
51213030043313011
632312134432210
73141614431662
oct515061146456
9137351767626
1044707401006
1117a621870a4
1287b8502666
1342a6404c48
1422418648a2
151269de2506
hexa68c4cd2e

44707401006 has 128 divisors (see below), whose sum is σ = 100254744576. Its totient is φ = 13225213440.

The previous prime is 44707400929. The next prime is 44707401019. The reversal of 44707401006 is 60010470744.

It is a super-2 number, since 2×447074010062 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42057231 + ... + 42058293.

It is an arithmetic number, because the mean of its divisors is an integer number (783240192).

Almost surely, 244707401006 is an apocalyptic number.

44707401006 is an abundant number, since it is smaller than the sum of its proper divisors (55547343570).

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

44707401006 is a wasteful number, since it uses less digits than its factorization.

44707401006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446.

The product of its (nonzero) digits is 18816, while the sum is 33.

It can be divided in two parts, 4470 and 7401006, that added together give a triangular number (7405476 = T3848).

The spelling of 44707401006 in words is "forty-four billion, seven hundred seven million, four hundred one thousand, six".

Divisors: 1 2 3 6 17 31 34 47 51 62 93 94 102 141 186 282 283 527 566 799 849 1054 1063 1457 1581 1598 1698 2126 2397 2914 3162 3189 4371 4794 4811 6378 8742 8773 9622 13301 14433 17546 18071 24769 26319 26602 28866 32953 36142 39903 49538 49961 52638 54213 65906 74307 79806 98859 99922 108426 148614 149141 149883 197718 226117 298282 299766 300829 412331 447423 452234 560201 601658 678351 824662 849337 894846 902487 1120402 1236993 1356702 1548791 1680603 1698674 1804974 2473986 2548011 3097582 3361206 4646373 5096022 5114093 7009627 9292746 9325699 10228186 14019254 14138963 15342279 18651398 21028881 26329447 27977097 28277926 30684558 42057762 42416889 52658894 55954194 78988341 84833778 157976682 158536883 240362371 317073766 438307853 475610649 480724742 721087113 876615706 951221298 1314923559 1442174226 2629847118 7451233501 14902467002 22353700503 44707401006