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14274948501072 = 2434731311163211
BaseRepresentation
bin1100111110111010010100…
…1111000000111001010000
31212112200010201000222110000
43033232211033000321100
53332340043304013242
650205453143410000
73002221350142050
oct317564517007120
955480121028400
1014274948501072
114603a76310a66
1217266b7453900
137c71779878bc
14374ca845d560
1519b4ce115a4c
hexcfba53c0e50

14274948501072 has 400 divisors, whose sum is σ = 48898294308864. Its totient is φ = 3934274976000.

The previous prime is 14274948501071. The next prime is 14274948501083. The reversal of 14274948501072 is 27010584947241.

It is a happy number.

14274948501072 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 494 + 85 + 0 + 1 + 0 + 72 = 666.

14274948501072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14274948501071) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87381547 + ... + 87544757.

Almost surely, 214274948501072 is an apocalyptic number.

14274948501072 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 14274948501072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24449147154432).

14274948501072 is an abundant number, since it is smaller than the sum of its proper divisors (34623345807792).

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

14274948501072 is a wasteful number, since it uses less digits than its factorization.

14274948501072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163580 (or 163565 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 14274948501072 in words is "fourteen trillion, two hundred seventy-four billion, nine hundred forty-eight million, five hundred one thousand, seventy-two".