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3644042641614 = 233473734578423
BaseRepresentation
bin110101000001110001110…
…111100000000011001110
3110220100220121010100012000
4311001301313200003032
5434200444404012424
611430014452253130
7524162526246054
oct65016167400316
913810817110160
103644042641614
111185480086841
124aa2a66111a6
13205829c4139b
14c85305dc1d4
1564bcae433c9
hex35071de00ce

3644042641614 has 128 divisors (see below), whose sum is σ = 8311471534080. Its totient is φ = 1182914502912.

The previous prime is 3644042641553. The next prime is 3644042641649. The reversal of 3644042641614 is 4161462404463.

It is a happy number.

3644042641614 is a `hidden beast` number, since 3 + 6 + 4 + 4 + 0 + 4 + 26 + 4 + 1 + 614 = 666.

It is a super-2 number, since 2×36440426416142 (a number of 26 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 3644042641614.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432625807 + ... + 432634229.

It is an arithmetic number, because the mean of its divisors is an integer number (64933371360).

Almost surely, 23644042641614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3644042641614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155735767040).

3644042641614 is an abundant number, since it is smaller than the sum of its proper divisors (4667428892466).

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

3644042641614 is a wasteful number, since it uses less digits than its factorization.

3644042641614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9311 (or 9305 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 3644042641614 in words is "three trillion, six hundred forty-four billion, forty-two million, six hundred forty-one thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 373 423 457 746 846 914 1119 1269 1371 2238 2538 2742 3357 4113 6714 8226 8423 10071 12339 16846 17531 20142 21479 24678 25269 35062 42958 50538 52593 64437 75807 105186 128874 151614 157779 170461 193311 227421 315558 340922 386622 395881 454842 473337 511383 579933 791762 946674 1022766 1159866 1187643 1534149 2375286 3068298 3141779 3562929 3849311 4602447 6283558 7125858 7698622 8011667 9204894 9425337 10688787 11547933 16023334 18850674 21377574 23095866 24035001 28276011 34643799 48070002 56552022 69287598 72105003 84828033 103931397 144210006 147663613 169656066 180917617 207862794 216315009 295327226 361835234 432630018 442990839 542752851 885981678 1085505702 1328972517 1435793003 1628258553 2657945034 2871586006 3256517106 3986917551 4307379009 4884775659 7973835102 8614758018 9769551318 12922137027 25844274054 38766411081 67482271141 77532822162 134964542282 202446813423 404893626846 607340440269 1214680880538 1822021320807 3644042641614