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14021488115712 = 2153872113
BaseRepresentation
bin1100110000001010000111…
…0100011000000000000000
31211122102220121121100000000
43030002201310120000000
53314212001424200322
645453214400000000
72645006355334200
oct314024164300000
954572817540000
1014021488115712
114516530558000
1216a5560000000
137a92b3a1c70c
14366902242400
15194ae76173ac
hexcc0a1d18000

14021488115712 has 1728 divisors, whose sum is σ = 53818113215880. Its totient is φ = 3641944965120.

The previous prime is 14021488115711. The next prime is 14021488115717. The reversal of 14021488115712 is 21751188412041.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

14021488115712 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 1 + 488 + 1 + 157 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14021488115711) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1274680737787 + ... + 1274680737797.

Almost surely, 214021488115712 is an apocalyptic number.

14021488115712 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 14021488115712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26909056607940).

14021488115712 is an abundant number, since it is smaller than the sum of its proper divisors (39796625100168).

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

14021488115712 is an frugal number, since it uses more digits than its factorization.

14021488115712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The spelling of 14021488115712 in words is "fourteen trillion, twenty-one billion, four hundred eighty-eight million, one hundred fifteen thousand, seven hundred twelve".