Search a number
-
+
14455741440 = 210357314337
BaseRepresentation
bin11010111011010000…
…10001110000000000
31101022110000202022010
431131220101300000
5214101132211230
610350232412520
71021140526530
oct153550216000
941273022263
1014455741440
116148986558
122975247140
131494b68c7a
149b1c2b4c0
155991579b0
hex35da11c00

14455741440 has 352 divisors, whose sum is σ = 54558019584. Its totient is φ = 3196846080.

The previous prime is 14455741423. The next prime is 14455741441. The reversal of 14455741440 is 4414755441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14455741441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3330952 + ... + 3335288.

Almost surely, 214455741440 is an apocalyptic number.

14455741440 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 14455741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27279009792).

14455741440 is an abundant number, since it is smaller than the sum of its proper divisors (40102278144).

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

14455741440 is a wasteful number, since it uses less digits than its factorization.

14455741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4403 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 39.

The spelling of 14455741440 in words is "fourteen billion, four hundred fifty-five million, seven hundred forty-one thousand, four hundred forty".