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4944162240 = 26345535961
BaseRepresentation
bin1001001101011000…
…11110110111000000
3110202120022110120000
410212230132313000
540111201142430
62134334320000
7233343454113
oct44654366700
913676273500
104944162240
11210793a2a6
12b5b959000
1360a40b2b4
1434c8c857a
151de0c6e60
hex126b1edc0

4944162240 has 560 divisors, whose sum is σ = 18521537760. Its totient is φ = 1250795520.

The previous prime is 4944162233. The next prime is 4944162263. The reversal of 4944162240 is 422614494.

It is a happy number.

4944162240 is a `hidden beast` number, since 494 + 4 + 162 + 2 + 4 + 0 = 666.

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 = 4944162195 and 4944162204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81051810 + ... + 81051870.

Almost surely, 24944162240 is an apocalyptic number.

4944162240 is a gapful number since it is divisible by the number (40) 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 4944162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9260768880).

4944162240 is an abundant number, since it is smaller than the sum of its proper divisors (13577375520).

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

4944162240 is a wasteful number, since it uses less digits than its factorization.

4944162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4944162240 is about 70314.7370044147. The cubic root of 4944162240 is about 1703.5866880933.

The spelling of 4944162240 in words is "four billion, nine hundred forty-four million, one hundred sixty-two thousand, two hundred forty".