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14461211136 = 29322674153
BaseRepresentation
bin11010111011111010…
…01001001000000000
31101022211022122022110
431131331021020000
5214104032224021
610350545535320
71021235160261
oct153575111000
941284278273
1014461211136
116150a81a69
122977044540
131496032788
149b2852968
15599888476
hex35df49200

14461211136 has 80 divisors (see below), whose sum is σ = 38551845024. Its totient is φ = 4817117184.

The previous prime is 14461211129. The next prime is 14461211161. The reversal of 14461211136 is 63111216441.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3480036 + ... + 3484188.

Almost surely, 214461211136 is an apocalyptic number.

14461211136 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 14461211136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19275922512).

14461211136 is an abundant number, since it is smaller than the sum of its proper divisors (24090633888).

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

14461211136 is an equidigital number, since it uses as much as digits as its factorization.

14461211136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6441 (or 6425 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

Adding to 14461211136 its reverse (63111216441), we get a palindrome (77572427577).

The spelling of 14461211136 in words is "fourteen billion, four hundred sixty-one million, two hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 2267 4153 4534 6801 8306 9068 12459 13602 16612 18136 24918 27204 33224 36272 49836 54408 66448 72544 99672 108816 132896 145088 199344 217632 265792 290176 398688 435264 531584 580352 797376 870528 1063168 1160704 1594752 1741056 2126336 3189504 3482112 6379008 9414851 18829702 28244553 37659404 56489106 75318808 112978212 150637616 225956424 301275232 451912848 602550464 903825696 1205100928 1807651392 2410201856 3615302784 4820403712 7230605568 14461211136