Search a number
-
+
14466522414960 = 24345711152319037
BaseRepresentation
bin1101001010000011111111…
…1011011111111101110000
31220012222121211011010210000
43102200333323133331300
53344004414214234320
650433454553310000
73022112624426250
oct322407773377560
956188554133700
1014466522414960
114678243841a30
121757861105300
1380c2583ba9b5
1438027d441960
151a1492976c90
hexd283fedff70

14466522414960 has 800 divisors, whose sum is σ = 62686761933312. Its totient is φ = 3003899074560.

The previous prime is 14466522414947. The next prime is 14466522414973. The reversal of 14466522414960 is 6941422566441.

14466522414960 is a `hidden beast` number, since 1 + 4 + 4 + 66 + 52 + 2 + 41 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14466522414947) and next prime (14466522414973).

It is a super-2 number, since 2×144665224149602 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14466522414897 and 14466522414906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 759906562 + ... + 759925598.

Almost surely, 214466522414960 is an apocalyptic number.

14466522414960 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 14466522414960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31343380966656).

14466522414960 is an abundant number, since it is smaller than the sum of its proper divisors (48220239518352).

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

14466522414960 is a wasteful number, since it uses less digits than its factorization.

14466522414960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20603 (or 20588 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 14466522414960 in words is "fourteen trillion, four hundred sixty-six billion, five hundred twenty-two million, four hundred fourteen thousand, nine hundred sixty".