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14453514240 = 213351117237
BaseRepresentation
bin11010111010111111…
…10010000000000000
31101022021211121011020
431131133302000000
5214100044423430
610350112545440
71021112562324
oct153537620000
941267747136
1014453514240
1161476a51a0
122974552280
1314945692b9
149b180b984
15598d67b10
hex35d7f2000

14453514240 has 672 divisors, whose sum is σ = 55043734464. Its totient is φ = 3208642560.

The previous prime is 14453514221. The next prime is 14453514241. The reversal of 14453514240 is 4241535441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (14453514241) 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, 390635502 + ... + 390635538.

Almost surely, 214453514240 is an apocalyptic number.

14453514240 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 14453514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27521867232).

14453514240 is an abundant number, since it is smaller than the sum of its proper divisors (40590220224).

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

14453514240 is a wasteful number, since it uses less digits than its factorization.

14453514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 14453514240 in words is "fourteen billion, four hundred fifty-three million, five hundred fourteen thousand, two hundred forty".