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419439934914 = 237111325372063
BaseRepresentation
bin1100001101010001001…
…00010111110111000010
31111002122111020101101020
412012220210113313002
523333003110404124
6520404341250310
742206053423050
oct6065044276702
91432574211336
10419439934914
111519799aa210
1269359703996
1330725c90400
141642dd391d0
15ad9d3d4379
hex61a8917dc2

419439934914 has 96 divisors (see below), whose sum is σ = 1132517044224. Its totient is φ = 100565000640.

The previous prime is 419439934883. The next prime is 419439934981.

419439934914 is nontrivially palindromic in base 10.

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, 2607954 + ... + 2764109.

It is an arithmetic number, because the mean of its divisors is an integer number (11797052544).

Almost surely, 2419439934914 is an apocalyptic number.

419439934914 is an abundant number, since it is smaller than the sum of its proper divisors (713077109310).

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

419439934914 is a wasteful number, since it uses less digits than its factorization.

419439934914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5372112 (or 5372099 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 60.

The spelling of 419439934914 in words is "four hundred nineteen billion, four hundred thirty-nine million, nine hundred thirty-four thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 169 182 231 273 286 338 429 462 507 546 858 1001 1014 1183 1859 2002 2366 3003 3549 3718 5577 6006 7098 11154 13013 26026 39039 78078 5372063 10744126 16116189 32232378 37604441 59092693 69836819 75208882 112813323 118185386 139673638 177278079 209510457 225626646 354556158 413648851 419020914 488857733 768205009 827297702 907878647 977715466 1240946553 1466573199 1536410018 1815757294 2304615027 2481893106 2723635941 2933146398 4609230054 5377435063 5447271882 6355150529 9986665117 10754870126 12710301058 16132305189 19065451587 19973330234 29959995351 32264610378 38130903174 59919990702 69906655819 139813311638 209719967457 419439934914