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14147240508240 = 2435731686339581
BaseRepresentation
bin1100110111011110100100…
…1111101011101101010000
31212002110111111220202120120
43031313221033223231100
53323242022032230430
650031052542110240
72660050544126250
oct315675117535520
955073444822516
1014147240508240
1145648a14a3834
1217059b627b380
137b81048ba138
1436ca31541960
151980075e5610
hexcdde93ebb50

14147240508240 has 320 divisors, whose sum is σ = 51747325673472. Its totient is φ = 3128808499200.

The previous prime is 14147240508169. The next prime is 14147240508283. The reversal of 14147240508240 is 4280504274141.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14147240508192 and 14147240508201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 357405250 + ... + 357444830.

Almost surely, 214147240508240 is an apocalyptic number.

14147240508240 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 14147240508240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25873662836736).

14147240508240 is an abundant number, since it is smaller than the sum of its proper divisors (37600085165232).

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

14147240508240 is a wasteful number, since it uses less digits than its factorization.

14147240508240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46498 (or 46492 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The spelling of 14147240508240 in words is "fourteen trillion, one hundred forty-seven billion, two hundred forty million, five hundred eight thousand, two hundred forty".