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1450094016 = 26371763467
BaseRepresentation
bin101011001101110…
…1010110111000000
310202001121102000210
41112123222313000
510432211002031
6355520314120
750635411230
oct12633526700
93661542023
101450094016
116845a4108
12345772940
131a156a8c7
14da831cc0
158748c746
hex566eadc0

1450094016 has 112 divisors (see below), whose sum is σ = 4642811136. Its totient is φ = 389935104.

The previous prime is 1450094011. The next prime is 1450094039. The reversal of 1450094016 is 6104900541.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1450094011) 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, 8886 + ... + 54581.

Almost surely, 21450094016 is an apocalyptic number.

1450094016 is a gapful number since it is divisible by the number (16) 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 1450094016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321405568).

1450094016 is an abundant number, since it is smaller than the sum of its proper divisors (3192717120).

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

1450094016 is a wasteful number, since it uses less digits than its factorization.

1450094016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63506 (or 63496 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1450094016 is about 38080.0999998687. The cubic root of 1450094016 is about 1131.8756579911.

Adding to 1450094016 its reverse (6104900541), we get a palindrome (7554994557).

The spelling of 1450094016 in words is "one billion, four hundred fifty million, ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 5712 7616 11424 22848 63467 126934 190401 253868 380802 444269 507736 761604 888538 1015472 1078939 1332807 1523208 1777076 2030944 2157878 2665614 3046416 3236817 3554152 4061888 4315756 5331228 6092832 6473634 7108304 7552573 8631512 10662456 12185664 12947268 14216608 15105146 17263024 21324912 22657719 25894536 28433216 30210292 34526048 42649824 45315438 51789072 60420584 69052096 85299648 90630876 103578144 120841168 181261752 207156288 241682336 362523504 483364672 725047008 1450094016