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1440495168 = 26371099833
BaseRepresentation
bin101010111011100…
…0011011001000000
310201101112201212220
41111313003121000
510422231321133
6354534451040
750461002240
oct12567033100
93641481786
101440495168
1167a138382
12342503a80
1319c589808
14d9453b20
15866e35b3
hex55dc3640

1440495168 has 112 divisors (see below), whose sum is σ = 4396191360. Its totient is φ = 407752704.

The previous prime is 1440495157. The next prime is 1440495169. The reversal of 1440495168 is 8615940441.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1440495169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141580 + ... + 151412.

Almost surely, 21440495168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1440495168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198095680).

1440495168 is an abundant number, since it is smaller than the sum of its proper divisors (2955696192).

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

1440495168 is a wasteful number, since it uses less digits than its factorization.

1440495168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9964 (or 9954 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 1440495168 is about 37953.8557725035. The cubic root of 1440495168 is about 1129.3726561928.

The spelling of 1440495168 in words is "one billion, four hundred forty million, four hundred ninety-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 109 112 168 192 218 224 327 336 436 448 654 672 763 872 1308 1344 1526 1744 2289 2616 3052 3488 4578 5232 6104 6976 9156 9833 10464 12208 18312 19666 20928 24416 29499 36624 39332 48832 58998 68831 73248 78664 117996 137662 146496 157328 206493 235992 275324 314656 412986 471984 550648 629312 825972 943968 1071797 1101296 1651944 1887936 2143594 2202592 3215391 3303888 4287188 4405184 6430782 6607776 7502579 8574376 12861564 13215552 15005158 17148752 22507737 25723128 30010316 34297504 45015474 51446256 60020632 68595008 90030948 102892512 120041264 180061896 205785024 240082528 360123792 480165056 720247584 1440495168