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14032120220010 = 232510914916975657
BaseRepresentation
bin1100110000110001101110…
…0010101000100101101010
31211200110100120210012012200
43030030123202220211222
53314400240234020020
645502133402521030
72645534006616624
oct314143342504552
954613316705180
1014032120220010
11451aa97058362
1216a7628806176
137aa2b96664a9
14367230307c14
1519501ac35590
hexcc31b8a896a

14032120220010 has 192 divisors, whose sum is σ = 37093723524000. Its totient is φ = 3679865634816.

The previous prime is 14032120220003. The next prime is 14032120220087. The reversal of 14032120220010 is 1002202123041.

It is a happy number.

14032120220010 is a `hidden beast` number, since 1 + 403 + 21 + 20 + 220 + 0 + 1 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 985554548001 + 13046565672009 = 992751^2 + 3612003^2 .

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 95 ways as a sum of consecutive naturals, for example, 2480485102 + ... + 2480490758.

Almost surely, 214032120220010 is an apocalyptic number.

14032120220010 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 14032120220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18546861762000).

14032120220010 is an abundant number, since it is smaller than the sum of its proper divisors (23061603303990).

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

14032120220010 is a wasteful number, since it uses less digits than its factorization.

14032120220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7625 (or 7622 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14032120220010 its reverse (1002202123041), we get a palindrome (15034322343051).

The spelling of 14032120220010 in words is "fourteen trillion, thirty-two billion, one hundred twenty million, two hundred twenty thousand, ten".