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444371601000140 = 2251116783531447987
BaseRepresentation
bin110010100001001110101001…
…1011011010000011011001100
32011021101111202220201112022122
41211002131103123100123030
5431221041014324001030
64213033254552232112
7162412534345261322
oct14502352333203314
92137344686645278
10444371601000140
11119654a35025810
1241a0a23a09b638
13160c50a6780238
147ba39b3691d12
1536591d24208e5
hex19427536d06cc

444371601000140 has 96 divisors (see below), whose sum is σ = 1024234149625344. Its totient is φ = 160602730076160.

The previous prime is 444371601000097. The next prime is 444371601000161. The reversal of 444371601000140 is 41000106173444.

It is a super-2 number, since 2×4443716010001402 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444371601000140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306165227 + ... + 307613213.

It is an arithmetic number, because the mean of its divisors is an integer number (10669105725264).

Almost surely, 2444371601000140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444371601000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512117074812672).

444371601000140 is an abundant number, since it is smaller than the sum of its proper divisors (579862548625204).

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

444371601000140 is a wasteful number, since it uses less digits than its factorization.

444371601000140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456527 (or 1456525 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

Adding to 444371601000140 its reverse (41000106173444), we get a palindrome (485371707173584).

The spelling of 444371601000140 in words is "four hundred forty-four trillion, three hundred seventy-one billion, six hundred one million, one hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 167 220 334 668 835 1670 1837 3340 3674 7348 8353 9185 16706 18370 33412 36740 41765 83530 91883 167060 183766 367532 459415 918830 1394951 1447987 1837660 2789902 2895974 5579804 5791948 6974755 7239935 13949510 14479870 15344461 15927857 27899020 28959740 30688922 31855714 61377844 63711428 76722305 79639285 153444610 159278570 241813829 306889220 318557140 483627658 967255316 1209069145 2418138290 2659952119 4836276580 5319904238 10639808476 12095035411 13299760595 24190070822 26599521190 48380141644 53199042380 60475177055 120950354110 133045389521 241900708220 266090779042 532181558084 665226947605 1330453895210 2019870913637 2660907790420 4039741827274 8079483654548 10099354568185 20198709136370 22218580050007 40397418272740 44437160100014 88874320200028 111092900250035 222185800500070 444371601000140