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14280035004 = 22323747307743
BaseRepresentation
bin11010100110010100…
…00000101010111100
31100212012101221101100
431103022000222330
5213221142110004
610320554413100
71013605203054
oct152312005274
940765357340
1014280035004
116068786724
122926431190
131467639471
14996770564
155889eb739
hex353280abc

14280035004 has 144 divisors (see below), whose sum is σ = 38035565568. Its totient is φ = 4511977344.

The previous prime is 14280034987. The next prime is 14280035039. The reversal of 14280035004 is 40053008241.

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, 19219057 + ... + 19219799.

It is an arithmetic number, because the mean of its divisors is an integer number (264135872).

Almost surely, 214280035004 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 14280035004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19017782784).

14280035004 is an abundant number, since it is smaller than the sum of its proper divisors (23755530564).

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

14280035004 is a wasteful number, since it uses less digits than its factorization.

14280035004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 14280035004 in words is "fourteen billion, two hundred eighty million, thirty-five thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 37 47 74 94 111 141 148 188 222 282 307 333 423 444 564 614 666 743 846 921 1228 1332 1486 1692 1739 1842 2229 2763 2972 3478 3684 4458 5217 5526 6687 6956 8916 10434 11052 11359 13374 14429 15651 20868 22718 26748 27491 28858 31302 34077 34921 43287 45436 54982 57716 62604 68154 69842 82473 86574 102231 104763 109964 129861 136308 139684 164946 173148 204462 209526 228101 247419 259722 314289 329892 408924 419052 456202 494838 519444 533873 628578 684303 912404 989676 1067746 1257156 1292077 1368606 1601619 2052909 2135492 2584154 2737212 3203238 3876231 4105818 4804857 5168308 6406476 7752462 8211636 8439737 9609714 10720747 11628693 15504924 16879474 19219428 21441494 23257386 25319211 32162241 33758948 42882988 46514772 50638422 64324482 75957633 96486723 101276844 128648964 151915266 192973446 303830532 385946892 396667639 793335278 1190002917 1586670556 2380005834 3570008751 4760011668 7140017502 14280035004