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44102672326614 = 231117299971359499
BaseRepresentation
bin10100000011100011101000…
…00111100001111111010110
312210011011201001201022110010
422001301310013201333112
521240034233103422424
6233444253222341050
712201212222323056
oct1201616407417726
9183134631638403
1044102672326614
1113063924857330
124b4348788a786
131b7bb3071a385
14ac681b747566
1551732982c229
hex281c741e1fd6

44102672326614 has 128 divisors (see below), whose sum is σ = 105503290560000. Its totient is φ = 12132377671680.

The previous prime is 44102672326561. The next prime is 44102672326621. The reversal of 44102672326614 is 41662327620144.

44102672326614 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×441026723266144 (a number of 56 digits) contains 4444 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 31760637 + ... + 33120135.

It is an arithmetic number, because the mean of its divisors is an integer number (824244457500).

Almost surely, 244102672326614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44102672326614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52751645280000).

44102672326614 is an abundant number, since it is smaller than the sum of its proper divisors (61400618233386).

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

44102672326614 is a wasteful number, since it uses less digits than its factorization.

44102672326614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360558.

The product of its (nonzero) digits is 2322432, while the sum is 48.

Adding to 44102672326614 its reverse (41662327620144), we get a palindrome (85764999946758).

The spelling of 44102672326614 in words is "forty-four trillion, one hundred two billion, six hundred seventy-two million, three hundred twenty-six thousand, six hundred fourteen".

Divisors: 1 2 3 6 11 17 22 29 33 34 51 58 66 87 102 174 187 319 374 493 561 638 957 986 997 1122 1479 1914 1994 2958 2991 5423 5982 10846 10967 16269 16949 21934 28913 32538 32901 33898 50847 57826 65802 86739 101694 173478 186439 318043 372878 491521 559317 636086 954129 983042 1118634 1359499 1474563 1908258 2718998 2949126 4078497 5406731 8156994 10813462 14954489 16220193 23111483 29908978 32440386 39425471 44863467 46222966 69334449 78850942 89726934 118276413 138668898 236552826 254226313 433680181 508452626 670233007 762678939 867360362 1301040543 1340466014 1355420503 1525357878 2010699021 2602081086 2710841006 4021398042 4066261509 7372563077 8132523018 14745126154 14909625533 22117689231 23042148551 29819251066 39307194587 44235378462 44728876599 46084297102 69126445653 78614389174 89457753198 117921583761 138252891306 235843167522 253463634061 432379140457 506927268122 668222307979 760390902183 864758280914 1297137421371 1336444615958 1520781804366 2004666923937 2594274842742 4009333847874 7350445387769 14700890775538 22051336163307 44102672326614