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14310322402002 = 231117281449101089
BaseRepresentation
bin1101000000111110000110…
…1011101111001011010010
31212200001102222021100000220
43100033201223233023102
53333430020013331002
650234023225053510
73004613062266414
oct320174153571322
955601388240026
1014310322402002
114617a78a21330
12173152a027296
137ca5c44b2623
143768a24989b4
1519c39e9017bc
hexd03e1aef2d2

14310322402002 has 128 divisors (see below), whose sum is σ = 33251008032000. Its totient is φ = 4057753190400.

The previous prime is 14310322401989. The next prime is 14310322402003. The reversal of 14310322402002 is 20020422301341.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14310322402003) by changing a digit.

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, 141511074 + ... + 141612162.

It is an arithmetic number, because the mean of its divisors is an integer number (259773500250).

Almost surely, 214310322402002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14310322402002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16625504016000).

14310322402002 is an abundant number, since it is smaller than the sum of its proper divisors (18940685629998).

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

14310322402002 is a wasteful number, since it uses less digits than its factorization.

14310322402002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101852.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14310322402002 its reverse (20020422301341), we get a palindrome (34330744703343).

The spelling of 14310322402002 in words is "fourteen trillion, three hundred ten billion, three hundred twenty-two million, four hundred two thousand, two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 281 374 449 561 562 843 898 1122 1347 1686 2694 3091 4777 4939 6182 7633 9273 9554 9878 14331 14817 15266 18546 22899 28662 29634 45798 52547 83963 101089 105094 126169 157641 167926 202178 251889 252338 303267 315282 378507 503778 606534 757014 1111979 1387859 1718513 2144873 2223958 2775718 3335937 3437026 4163577 4289746 5155539 6434619 6671874 8327154 10311078 12869238 18903643 23593603 28406009 37807286 45388961 47187206 56710929 56812018 70780809 85218027 90777922 113421858 136166883 141561618 170436054 272333766 312466099 482902153 499278571 624932198 771612337 937398297 965804306 998557142 1448706459 1497835713 1543224674 1874796594 2314837011 2897412918 2995671426 4629674022 5311923683 8487735707 10623847366 12754298041 15935771049 16975471414 25463207121 25508596082 31871542098 38262894123 50926414242 76525788246 140297278451 216823066697 280594556902 420891835353 433646133394 650469200091 841783670706 1300938400182 2385053733667 4770107467334 7155161201001 14310322402002