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514404414450 = 233521928377069
BaseRepresentation
bin1110111110001001110…
…01000111001111110010
31211011202201122210011000
413133010321013033302
531412000012230300
61032151503502430
752110264243633
oct7370471071762
91734681583130
10514404414450
11189180977253
1283840bb7a16
133967b485634
141ac7c2cd88a
15d5aa4ecc00
hex77c4e473f2

514404414450 has 192 divisors, whose sum is σ = 1492810704000. Its totient is φ = 129890615040.

The previous prime is 514404414427. The next prime is 514404414463. The reversal of 514404414450 is 54414404415.

514404414450 is a `hidden beast` number, since 514 + 40 + 44 + 14 + 4 + 50 = 666.

It is a super-2 number, since 2×5144044144502 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72765516 + ... + 72772584.

It is an arithmetic number, because the mean of its divisors is an integer number (7775055750).

Almost surely, 2514404414450 is an apocalyptic number.

514404414450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 514404414450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746405352000).

514404414450 is an abundant number, since it is smaller than the sum of its proper divisors (978406289550).

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

514404414450 is a wasteful number, since it uses less digits than its factorization.

514404414450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9946 (or 9935 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 514404414450 its reverse (54414404415), we get a palindrome (568818818865).

The spelling of 514404414450 in words is "five hundred fourteen billion, four hundred four million, four hundred fourteen thousand, four hundred fifty".