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14372942472 = 23327179313509
BaseRepresentation
bin11010110001011000…
…11011001010001000
31101002200020010110200
431120230123022020
5213413433124342
610334114012200
71016113665240
oct153054331210
941080203420
1014372942472
116106173459
122951577060
1314809688b5
149a4c36b20
15591c4e94c
hex358b1b288

14372942472 has 192 divisors, whose sum is σ = 44967312000. Its totient is φ = 4062569472.

The previous prime is 14372942471. The next prime is 14372942473. The reversal of 14372942472 is 27424927341.

It is an interprime number because it is at equal distance from previous prime (14372942471) and next prime (14372942473).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14372942471) 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, 28237354 + ... + 28237862.

It is an arithmetic number, because the mean of its divisors is an integer number (234204750).

Almost surely, 214372942472 is an apocalyptic number.

14372942472 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 14372942472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22483656000).

14372942472 is an abundant number, since it is smaller than the sum of its proper divisors (30594369528).

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

14372942472 is a wasteful number, since it uses less digits than its factorization.

14372942472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1013 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 14372942472 in words is "fourteen billion, three hundred seventy-two million, nine hundred forty-two thousand, four hundred seventy-two".