Search a number
-
+
14137923842880 = 26351811913131361
BaseRepresentation
bin1100110110111011110111…
…1011011011001101000000
31212001120110012222010100120
43031232331323123031000
53323113432000433010
650022512245420240
72656300634565465
oct315567573331500
955046405863316
1014137923842880
1145609504861a2
12170403610a680
137b727b6556b6
1436c3ca05966c
15197b5e716e70
hexcdbbdedb340

14137923842880 has 448 divisors, whose sum is σ = 45550624444416. Its totient is φ = 3715006464000.

The previous prime is 14137923842873. The next prime is 14137923842951. The reversal of 14137923842880 is 8824832973141.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10387893400 + ... + 10387894760.

It is an arithmetic number, because the mean of its divisors is an integer number (101675500992).

Almost surely, 214137923842880 is an apocalyptic number.

14137923842880 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 14137923842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22775312222208).

14137923842880 is an abundant number, since it is smaller than the sum of its proper divisors (31412700601536).

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

14137923842880 is a wasteful number, since it uses less digits than its factorization.

14137923842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 14137923842880 in words is "fourteen trillion, one hundred thirty-seven billion, nine hundred twenty-three million, eight hundred forty-two thousand, eight hundred eighty".