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14001223342122 = 235177219234749
BaseRepresentation
bin1100101110111110100111…
…1100011001100000101010
31211120111121022212011200000
43023233221330121200222
53313344001133421442
645440023451323430
72643361236524502
oct313575174314052
954514538764600
1014001223342122
114508981624735
1216a1645450576
137a740452bb23
1436593cb16a02
1519430d4e9d4c
hexcbbe9f1982a

14001223342122 has 96 divisors (see below), whose sum is σ = 33314856120000. Its totient is φ = 4391913477888.

The previous prime is 14001223342121. The next prime is 14001223342153. The reversal of 14001223342122 is 22124332210041.

14001223342122 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 1 + 2 + 233 + 421 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14001223342121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59526004 + ... + 59760752.

It is an arithmetic number, because the mean of its divisors is an integer number (347029751250).

Almost surely, 214001223342122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14001223342122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16657428060000).

14001223342122 is an abundant number, since it is smaller than the sum of its proper divisors (19313632777878).

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

14001223342122 is a wasteful number, since it uses less digits than its factorization.

14001223342122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242002 (or 241990 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14001223342122 its reverse (22124332210041), we get a palindrome (36125555552163).

The spelling of 14001223342122 in words is "fourteen trillion, one billion, two hundred twenty-three million, three hundred forty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 918 1377 2754 4131 7219 8262 14438 21657 43314 64971 122723 129942 194913 234749 245446 368169 389826 469498 584739 704247 736338 1104507 1169478 1408494 1754217 2112741 2209014 3313521 3508434 3990733 4225482 6338223 6627042 7981466 9940563 11972199 12676446 19014669 19881126 23944398 29821689 35916597 38029338 57044007 59643378 71833194 107749791 114088014 215499582 323249373 646498746 969748119 1694653031 1939496238 3389306062 5083959093 10167918186 15251877279 28809101527 30503754558 45755631837 57618203054 86427304581 91511263674 137266895511 172854609162 259281913743 274533791022 411800686533 518563827486 777845741229 823601373066 1555691482458 2333537223687 4667074447374 7000611671061 14001223342122