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14342398953960 = 233571121943172717
BaseRepresentation
bin1101000010110101100110…
…0110000100100111101000
31212210010020102222000011210
43100231121212010213220
53334441213113011320
650300450200553120
73010130005422540
oct320553146044750
955703212860153
1014342398953960
11462a639338600
1217377a04827a0
13800636b4589c
14378266608320
1519d12a9b00e0
hexd0b599849e8

14342398953960 has 768 divisors, whose sum is σ = 58218954393600. Its totient is φ = 2757708011520.

The previous prime is 14342398953937. The next prime is 14342398954021. The reversal of 14342398953960 is 6935989324341.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 14342398953891 and 14342398953900.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82953522 + ... + 83126238.

It is an arithmetic number, because the mean of its divisors is an integer number (75805930200).

Almost surely, 214342398953960 is an apocalyptic number.

14342398953960 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 14342398953960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29109477196800).

14342398953960 is an abundant number, since it is smaller than the sum of its proper divisors (43876555439640).

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

14342398953960 is a wasteful number, since it uses less digits than its factorization.

14342398953960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172822 (or 172807 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 66.

The spelling of 14342398953960 in words is "fourteen trillion, three hundred forty-two billion, three hundred ninety-eight million, nine hundred fifty-three thousand, nine hundred sixty".