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431640465314444 = 2217193725735133773
BaseRepresentation
bin110001000100100110010000…
…0100110110001001010001100
32002121022102111011212022111222
41202021030200212301022030
5423033444133110030234
64130004520423102512
7156626665054411361
oct14211144046611214
92077272434768458
10431640465314444
1111559676990a871
12404b29925a1a38
13156b06a1194a79
14788371d5b6468
1534d7e5bc8942e
hex18893209b128c

431640465314444 has 96 divisors (see below), whose sum is σ = 868017831145920. Its totient is φ = 186504677425152.

The previous prime is 431640465314363. The next prime is 431640465314491. The reversal of 431640465314444 is 444413564046134.

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, 5281259 + ... + 29852514.

It is an arithmetic number, because the mean of its divisors is an integer number (9041852407770).

Almost surely, 2431640465314444 is an apocalyptic number.

It is an amenable number.

431640465314444 is an abundant number, since it is smaller than the sum of its proper divisors (436377365831476).

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

431640465314444 is a wasteful number, since it uses less digits than its factorization.

431640465314444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35134107 (or 35134105 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 53.

The spelling of 431640465314444 in words is "four hundred thirty-one trillion, six hundred forty billion, four hundred sixty-five million, three hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 4 17 19 34 37 38 68 74 76 148 257 323 514 629 646 703 1028 1258 1292 1406 2516 2812 4369 4883 8738 9509 9766 11951 17476 19018 19532 23902 38036 47804 83011 161653 166022 180671 323306 332044 361342 646612 722684 3071407 6142814 12285628 35133773 70267546 140535092 597274141 667541687 1194548282 1299949601 1335083374 2389096564 2599899202 2670166748 5199798404 9029379661 11348208679 18058759322 22099143217 22696417358 24699042419 36117518644 44198286434 45392834716 49398084838 88396572868 98796169676 153499454237 171558213559 306998908474 334087047457 343116427118 419883721123 613997816948 668174094914 686232854236 839767442246 1336348189828 1679534884492 2916489630503 5679479806769 5832979261006 6347653901683 11358959613538 11665958522012 12695307803366 22717919227076 25390615606732 107910116328611 215820232657222 431640465314444