Search a number
-
+
612400444022340 = 223253402224689013
BaseRepresentation
bin1000101100111110011001011…
…0111011010001111001000100
32222022022220120220001022122100
42023033212112323101321010
51120232032102132203330
610010244514035432100
7242664320616305361
oct21317462673217104
92868286526038570
10612400444022340
1116814762a449756
1258827385755630
132039316382074c
14ab324a7d93468
154abee1a994060
hex22cf996ed1e44

612400444022340 has 36 divisors (see below), whose sum is σ = 1857614680201644. Its totient is φ = 163306785072576.

The previous prime is 612400444022333. The next prime is 612400444022401. The reversal of 612400444022340 is 43220444004216.

612400444022340 is a `hidden beast` number, since 6 + 1 + 240 + 0 + 4 + 4 + 402 + 2 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 324809857440324 + 287590586582016 = 18022482^2 + 16958496^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 612400444022295 and 612400444022304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1701112344327 + ... + 1701112344686.

It is an arithmetic number, because the mean of its divisors is an integer number (51600407783379).

Almost surely, 2612400444022340 is an apocalyptic number.

612400444022340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

612400444022340 is an abundant number, since it is smaller than the sum of its proper divisors (1245214236179304).

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

612400444022340 is a wasteful number, since it uses less digits than its factorization.

612400444022340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402224689028 (or 3402224689023 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 612400444022340 its reverse (43220444004216), we get a palindrome (655620888026556).

The spelling of 612400444022340 in words is "six hundred twelve trillion, four hundred billion, four hundred forty-four million, twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3402224689013 6804449378026 10206674067039 13608898756052 17011123445065 20413348134078 30620022201117 34022246890130 40826696268156 51033370335195 61240044402234 68044493780260 102066740670390 122480088804468 153100111005585 204133481340780 306200222011170 612400444022340