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914414062500 = 2234510172
BaseRepresentation
bin11010100111001110101…
…00110100101110100100
310020102021002101022210000
431103213110310232210
5104440210000000000
61540024230501300
7123031014200241
oct15234724645644
93212232338700
10914414062500
11322889999344
12129277504830
13682c8ac1283
14323878845c8
1518bbcba0000
hexd4e7534ba4

914414062500 has 495 divisors, whose sum is σ = 3174182063899. Its totient is φ = 229500000000.

The previous prime is 914414062481. The next prime is 914414062531. The reversal of 914414062500 is 5260414419.

The square root of 914414062500 is 956250.

It is a perfect power (a square), and thus also a powerful number.

914414062500 is a `hidden beast` number, since 9 + 1 + 4 + 4 + 140 + 6 + 2 + 500 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 148004861796 + 766409200704 = 384714^2 + 875448^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 164 ways as a sum of consecutive naturals, for example, 53789062492 + ... + 53789062508.

Almost surely, 2914414062500 is an apocalyptic number.

914414062500 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

914414062500 is the 956250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 914414062500

914414062500 is an abundant number, since it is smaller than the sum of its proper divisors (2259768001399).

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

914414062500 is an frugal number, since it uses more digits than its factorization.

914414062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 914414062500 by its sum of digits (36), we get a square (32918906250000 = 57375002).

914414062500 divided by its sum of digits (36) gives a square (25400390625 = 1593752).

Adding to 914414062500 its reverse (5260414419), we get a palindrome (919674476919).

The spelling of 914414062500 in words is "nine hundred fourteen billion, four hundred fourteen million, sixty-two thousand, five hundred".