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14107473438912 = 263471923134739
BaseRepresentation
bin1100110101001010011011…
…1100010110100011000000
31211221122212002011022220000
43031102212330112203000
53322114101200021122
650000514523520000
72654142225455520
oct315224674264300
954848762138800
1014107473438912
114549a44a7aa87
1216ba158389000
137b4437b81a99
1436ab3bc89680
15196e7b2c00ac
hexcd4a6f168c0

14107473438912 has 840 divisors, whose sum is σ = 52069552634880. Its totient is φ = 3695278371840.

The previous prime is 14107473438899. The next prime is 14107473438959. The reversal of 14107473438912 is 21983437470141.

14107473438912 is a `hidden beast` number, since 1 + 41 + 0 + 7 + 473 + 43 + 8 + 91 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 406081639 + ... + 406116377.

Almost surely, 214107473438912 is an apocalyptic number.

14107473438912 is a gapful number since it is divisible by the number (12) 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 14107473438912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26034776317440).

14107473438912 is an abundant number, since it is smaller than the sum of its proper divisors (37962079195968).

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

14107473438912 is a wasteful number, since it uses less digits than its factorization.

14107473438912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34839 (or 34801 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 14107473438912 in words is "fourteen trillion, one hundred seven billion, four hundred seventy-three million, four hundred thirty-eight thousand, nine hundred twelve".