Search a number
-
+
14059433024 = 2671317211673
BaseRepresentation
bin11010001100000000…
…11110110001000000
31100021211022012100122
431012000132301000
5212243203324044
610243034235412
71005256131440
oct150600366100
940254265318
1014059433024
115a6520213a
122884585b68
131430a1aa50
14975348120
15574472dee
hex34601ec40

14059433024 has 224 divisors, whose sum is σ = 36583900416. Its totient is φ = 5202247680.

The previous prime is 14059433023. The next prime is 14059433051. The reversal of 14059433024 is 42033495041.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (14059433023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20890352 + ... + 20891024.

It is an arithmetic number, because the mean of its divisors is an integer number (163320984).

Almost surely, 214059433024 is an apocalyptic number.

14059433024 is a gapful number since it is divisible by the number (14) 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 14059433024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18291950208).

14059433024 is an abundant number, since it is smaller than the sum of its proper divisors (22524467392).

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

14059433024 is a wasteful number, since it uses less digits than its factorization.

14059433024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 14059433024 in words is "fourteen billion, fifty-nine million, four hundred thirty-three thousand, twenty-four".