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14001425936208 = 24323143353920611
BaseRepresentation
bin1100101110111111011000…
…0001001110111101010000
31211120112010110002000111200
43023233312001032331100
53313344410014424313
645440055525511200
72643366246535014
oct313576601167520
954515113060450
1014001425936208
114508a75a19667
1216a16a1272500
137a74374b3a99
1436595b9b2544
151943211b7b73
hexcbbf604ef50

14001425936208 has 240 divisors, whose sum is σ = 41402931947520. Its totient is φ = 4410091526400.

The previous prime is 14001425936207. The next prime is 14001425936213. The reversal of 14001425936208 is 80263952410041.

14001425936208 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 14 + 2 + 5 + 9 + 3 + 620 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001425936207) 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, 679307823 + ... + 679328433.

It is an arithmetic number, because the mean of its divisors is an integer number (172512216448).

Almost surely, 214001425936208 is an apocalyptic number.

14001425936208 is a gapful number since it is divisible by the number (18) 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 14001425936208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20701465973760).

14001425936208 is an abundant number, since it is smaller than the sum of its proper divisors (27401506011312).

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

14001425936208 is a wasteful number, since it uses less digits than its factorization.

14001425936208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24238 (or 24229 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 14001425936208 in words is "fourteen trillion, one billion, four hundred twenty-five million, nine hundred thirty-six thousand, two hundred eight".