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104012340432 = 2437111337411427
BaseRepresentation
bin110000011011110011…
…1100101110011010000
3100221110210120100120220
41200313213211303100
53201004124343212
6115441013233040
710341344210010
oct1406747456320
9327423510526
10104012340432
1140125288930
12181a9632780
139a67b62090
145069ca7c40
152a8b5eb38c
hex18379e5cd0

104012340432 has 640 divisors, whose sum is σ = 379823689728. Its totient is φ = 23655628800.

The previous prime is 104012340427. The next prime is 104012340437. The reversal of 104012340432 is 234043210401.

It is an interprime number because it is at equal distance from previous prime (104012340427) and next prime (104012340437).

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 (104012340437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72888103 + ... + 72889529.

Almost surely, 2104012340432 is an apocalyptic number.

104012340432 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 104012340432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189911844864).

104012340432 is an abundant number, since it is smaller than the sum of its proper divisors (275811349296).

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

104012340432 is a wasteful number, since it uses less digits than its factorization.

104012340432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1541 counting only the distinct ones).

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

Adding to 104012340432 its reverse (234043210401), we get a palindrome (338055550833).

It can be divided in two parts, 104012 and 340432, that added together give a palindrome (444444).

The spelling of 104012340432 in words is "one hundred four billion, twelve million, three hundred forty thousand, four hundred thirty-two".