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14440121000010 = 23256713917228153
BaseRepresentation
bin1101001000100001101001…
…0010000110000001001010
31220010110110212020022001200
43102020122102012001022
53343041331434000020
650413411111325030
73020156442210066
oct322103222060112
956113425208050
1014440121000010
114668025940132
121752713380776
1380990b72b984
1437cc96cd8aa6
151a0949c30590
hexd221a48604a

14440121000010 has 96 divisors (see below), whose sum is σ = 38378814102720. Its totient is φ = 3765936201984.

The previous prime is 14440120999991. The next prime is 14440121000029. The reversal of 14440121000010 is 1000012104441.

14440121000010 is a `hidden beast` number, since 1 + 4 + 440 + 1 + 210 + 0 + 0 + 0 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (14440120999991) and next prime (14440121000029).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7775907 + ... + 9452246.

It is an arithmetic number, because the mean of its divisors is an integer number (399779313570).

Almost surely, 214440121000010 is an apocalyptic number.

14440121000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14440121000010 is an abundant number, since it is smaller than the sum of its proper divisors (23938693102710).

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

14440121000010 is a wasteful number, since it uses less digits than its factorization.

14440121000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17228372 (or 17228369 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14440121000010 its reverse (1000012104441), we get a palindrome (15440133104451).

The spelling of 14440121000010 in words is "fourteen trillion, four hundred forty billion, one hundred twenty-one million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 139 201 278 335 402 417 603 670 695 834 1005 1206 1251 1390 2010 2085 2502 3015 4170 6030 6255 9313 12510 18626 27939 46565 55878 83817 93130 139695 167634 279390 419085 838170 17228153 34456306 51684459 86140765 103368918 155053377 172281530 258422295 310106754 516844590 775266885 1154286251 1550533770 2308572502 2394713267 3462858753 4789426534 5771431255 6925717506 7184139801 10388576259 11542862510 11973566335 14368279602 17314293765 20777152518 21552419403 23947132670 34628587530 35920699005 43104838806 51942881295 71841398010 103885762590 107762097015 160445788889 215524194030 320891577778 481337366667 802228944445 962674733334 1444012100001 1604457888890 2406686833335 2888024200002 4813373666670 7220060500005 14440121000010