Search a number
-
+
14134052357520 = 2435178344992957
BaseRepresentation
bin1100110110101101011100…
…1010111000010110010000
31212001012110102002021211220
43031223113022320112100
53323033014400420040
650021032150205040
72656102664525244
oct315532712702620
955035412067756
1014134052357520
11455a244099a17
121703335653780
137b6ab254c664
1436c13dbda424
151979d48ca2d0
hexcdad72b8590

14134052357520 has 320 divisors, whose sum is σ = 47056975660800. Its totient is φ = 3496787574784.

The previous prime is 14134052357501. The next prime is 14134052357531. The reversal of 14134052357520 is 2575325043141.

14134052357520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 152002882 + ... + 152095838.

It is an arithmetic number, because the mean of its divisors is an integer number (147053048940).

Almost surely, 214134052357520 is an apocalyptic number.

14134052357520 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 14134052357520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23528487830400).

14134052357520 is an abundant number, since it is smaller than the sum of its proper divisors (32922923303280).

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

14134052357520 is a wasteful number, since it uses less digits than its factorization.

14134052357520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93522 (or 93516 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 14134052357520 in words is "fourteen trillion, one hundred thirty-four billion, fifty-two million, three hundred fifty-seven thousand, five hundred twenty".