Search a number
-
+
14003421432 = 233711133118803
BaseRepresentation
bin11010000101010101…
…10100000011111000
31100010220220111220020
431002222310003320
5212134333441212
610233313530440
71004006055360
oct150252640370
940126814806
1014003421432
115a36625870
122869873a20
1314222392b0
1496bb279a0
1556e5abd8c
hex342ab40f8

14003421432 has 256 divisors, whose sum is σ = 48523345920. Its totient is φ = 3248985600.

The previous prime is 14003421391. The next prime is 14003421433. The reversal of 14003421432 is 23412430041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14003421433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 735343 + ... + 754145.

It is an arithmetic number, because the mean of its divisors is an integer number (189544320).

Almost surely, 214003421432 is an apocalyptic number.

14003421432 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 14003421432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24261672960).

14003421432 is an abundant number, since it is smaller than the sum of its proper divisors (34519924488).

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

14003421432 is a wasteful number, since it uses less digits than its factorization.

14003421432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18874 (or 18870 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14003421432 its reverse (23412430041), we get a palindrome (37415851473).

The spelling of 14003421432 in words is "fourteen billion, three million, four hundred twenty-one thousand, four hundred thirty-two".