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1144791990 = 2325193891721
BaseRepresentation
bin100010000111100…
…0010001110110110
32221210010110101100
41010033002032312
54321031320430
6305332510530
740240366656
oct10417021666
92853113340
101144791990
11538229191
1227b47b446
13153234714
14ac07c366
156a782960
hex443c23b6

1144791990 has 96 divisors (see below), whose sum is σ = 3142994400. Its totient is φ = 288299520.

The previous prime is 1144791983. The next prime is 1144792003. The reversal of 1144791990 is 991974411.

1144791990 is a `hidden beast` number, since 11 + 447 + 9 + 199 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 664330 + ... + 666050.

It is an arithmetic number, because the mean of its divisors is an integer number (32739525).

Almost surely, 21144791990 is an apocalyptic number.

1144791990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144791990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571497200).

1144791990 is an abundant number, since it is smaller than the sum of its proper divisors (1998202410).

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

1144791990 is a wasteful number, since it uses less digits than its factorization.

1144791990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 1144791990 is about 33834.7748625582. The cubic root of 1144791990 is about 1046.1056009312.

The spelling of 1144791990 in words is "one billion, one hundred forty-four million, seven hundred ninety-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 389 570 778 855 1167 1710 1721 1945 2334 3442 3501 3890 5163 5835 7002 7391 8605 10326 11670 14782 15489 17210 17505 22173 25815 30978 32699 35010 36955 44346 51630 65398 66519 73910 77445 98097 110865 133038 154890 163495 196194 221730 294291 326990 332595 490485 588582 665190 669469 980970 1338938 1471455 2008407 2942910 3347345 4016814 6025221 6694690 10042035 12050442 12719911 20084070 25439822 30126105 38159733 60252210 63599555 76319466 114479199 127199110 190798665 228958398 381597330 572395995 1144791990