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14023602226080 = 253455827185699
BaseRepresentation
bin1100110000010001111111…
…0101000100001110100000
31211122122100221200021020000
43030010133311010032200
53314230314132213310
645454204240420000
72645112636100236
oct314043765041640
954578327607200
1014023602226080
114517415953457
1216a5a50017600
137a955ca0acb5
14366a62d22956
15194bbd01a4c0
hexcc11fd443a0

14023602226080 has 240 divisors, whose sum is σ = 49500389584800. Its totient is φ = 3738965349888.

The previous prime is 14023602226079. The next prime is 14023602226177. The reversal of 14023602226080 is 8062220632041.

14023602226080 is a `hidden beast` number, since 1 + 4 + 0 + 23 + 6 + 0 + 2 + 22 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×140236022260802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75425071 + ... + 75610769.

It is an arithmetic number, because the mean of its divisors is an integer number (206251623270).

Almost surely, 214023602226080 is an apocalyptic number.

14023602226080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14023602226080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24750194792400).

14023602226080 is an abundant number, since it is smaller than the sum of its proper divisors (35476787358720).

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

14023602226080 is a wasteful number, since it uses less digits than its factorization.

14023602226080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191553 (or 191536 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 14023602226080 in words is "fourteen trillion, twenty-three billion, six hundred two million, two hundred twenty-six thousand, eighty".