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14234021040 = 24352315117077
BaseRepresentation
bin11010100000110100…
…11110110010110000
31100201222211012002110
431100122132302300
5213122402133130
610312232245320
71012506116421
oct152032366260
940658735073
1014234021040
116044808758
122912b40840
13145ac48475
149905d3648
1558495cab0
hex35069ecb0

14234021040 has 160 divisors (see below), whose sum is σ = 46351604736. Its totient is φ = 3606451200.

The previous prime is 14234021033. The next prime is 14234021051. The reversal of 14234021040 is 4012043241.

It is a junction number, because it is equal to n+sod(n) for n = 14234020998 and 14234021016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 824982 + ... + 842058.

Almost surely, 214234021040 is an apocalyptic number.

14234021040 is a gapful number since it is divisible by the number (10) 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 14234021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23175802368).

14234021040 is an abundant number, since it is smaller than the sum of its proper divisors (32117583696).

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

14234021040 is a wasteful number, since it uses less digits than its factorization.

14234021040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17267 (or 17261 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14234021040 its reverse (4012043241), we get a palindrome (18246064281).

The spelling of 14234021040 in words is "fourteen billion, two hundred thirty-four million, twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 151 184 230 240 276 302 345 368 453 460 552 604 690 755 906 920 1104 1208 1380 1510 1812 1840 2265 2416 2760 3020 3473 3624 4530 5520 6040 6946 7248 9060 10419 12080 13892 17077 17365 18120 20838 27784 34154 34730 36240 41676 51231 52095 55568 68308 69460 83352 85385 102462 104190 136616 138920 166704 170770 204924 208380 256155 273232 277840 341540 392771 409848 416760 512310 683080 785542 819696 833520 1024620 1178313 1366160 1571084 1963855 2049240 2356626 2578627 3142168 3927710 4098480 4713252 5157254 5891565 6284336 7735881 7855420 9426504 10314508 11783130 12893135 15471762 15710840 18853008 20629016 23566260 25786270 30943524 31421680 38679405 41258032 47132520 51572540 59308421 61887048 77358810 94265040 103145080 118616842 123774096 154717620 177925263 206290160 237233684 296542105 309435240 355850526 474467368 593084210 618870480 711701052 889626315 948934736 1186168420 1423402104 1779252630 2372336840 2846804208 3558505260 4744673680 7117010520 14234021040