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1099242144 = 2533711133141
BaseRepresentation
bin100000110000101…
…0001101010100000
32211121102021202000
41001201101222200
54222401222034
6301024324000
736145255410
oct10141215240
92747367660
101099242144
11514547990
12268173600
13146976a50
14a5dc2640
1566786599
hex41851aa0

1099242144 has 768 divisors, whose sum is σ = 4551966720. Its totient is φ = 248832000.

The previous prime is 1099242127. The next prime is 1099242161. The reversal of 1099242144 is 4412429901.

1099242144 is a `hidden beast` number, since 109 + 92 + 421 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (1099242127) and next prime (1099242161).

It is a super-2 number, since 2×10992421442 = 2416666582291433472, which contains 22 as substring.

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 = 1099242099 and 1099242108.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26810764 + ... + 26810804.

It is an arithmetic number, because the mean of its divisors is an integer number (5927040).

Almost surely, 21099242144 is an apocalyptic number.

1099242144 is a gapful number since it is divisible by the number (14) 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 1099242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275983360).

1099242144 is an abundant number, since it is smaller than the sum of its proper divisors (3452724576).

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

1099242144 is a wasteful number, since it uses less digits than its factorization.

1099242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1099242144 is about 33154.8208259372. The cubic root of 1099242144 is about 1032.0429944229.

The spelling of 1099242144 in words is "one billion, ninety-nine million, two hundred forty-two thousand, one hundred forty-four".