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14133555514350 = 23352191401136691
BaseRepresentation
bin1100110110101011100110…
…0011100100101111101110
31212001011011210012001011000
43031222321203210233232
53323031010202424400
650020511001141130
72656054452450006
oct315527143445756
955034153161130
1014133555514350
11455a009699328
12170321718a7a6
137b6a3363140c
1436c0d3c27006
151979a5e87600
hexcdab98e4bee

14133555514350 has 192 divisors, whose sum is σ = 39247619420160. Its totient is φ = 3739838400000.

The previous prime is 14133555514339. The next prime is 14133555514369. The reversal of 14133555514350 is 5341555533141.

14133555514350 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 3 + 5 + 5 + 551 + 43 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 14133555514296 and 14133555514305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103329505 + ... + 103466195.

It is an arithmetic number, because the mean of its divisors is an integer number (204414684480).

Almost surely, 214133555514350 is an apocalyptic number.

14133555514350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14133555514350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19623809710080).

14133555514350 is an abundant number, since it is smaller than the sum of its proper divisors (25114063905810).

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

14133555514350 is a wasteful number, since it uses less digits than its factorization.

14133555514350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137304 (or 137293 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 14133555514350 in words is "fourteen trillion, one hundred thirty-three billion, five hundred fifty-five million, five hundred fourteen thousand, three hundred fifty".