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2423615040 = 263357113643
BaseRepresentation
bin1001000001110101…
…0110111001000000
320020220110101211000
42100131112321000
514430421140130
61040254252000
7114026250030
oct22035267100
96226411730
102423615040
111034081940
125777b7000
132c8166652
1418dc498c0
15e2b8d260
hex90756e40

2423615040 has 448 divisors, whose sum is σ = 10662635520. Its totient is φ = 503470080.

The previous prime is 2423615021. The next prime is 2423615093. The reversal of 2423615040 is 405163242.

2423615040 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 615 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×24236150402 = 11747819724228403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2423614995 and 2423615013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 663459 + ... + 667101.

Almost surely, 22423615040 is an apocalyptic number.

2423615040 is a gapful number since it is divisible by the number (20) 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 2423615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331317760).

2423615040 is an abundant number, since it is smaller than the sum of its proper divisors (8239020480).

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

2423615040 is a wasteful number, since it uses less digits than its factorization.

2423615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2423615040 is about 49230.2248623749. The cubic root of 2423615040 is about 1343.2428771374.

Adding to 2423615040 its reverse (405163242), we get a palindrome (2828778282).

The spelling of 2423615040 in words is "two billion, four hundred twenty-three million, six hundred fifteen thousand, forty".