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340500024051642 = 2327131360431528013
BaseRepresentation
bin100110101101011101101011…
…0111110101100011110111010
31122122121111002010100021001200
41031122323112332230132322
5324112223022124123032
63204103315051155030
7131502213006045540
oct11532732676543672
91578544063307050
10340500024051642
119954828183a384
1232233229145a76
13117cc025abb990
1460124093d5d90
1529572c136047c
hex135aed6fac7ba

340500024051642 has 96 divisors (see below), whose sum is σ = 908007332738688. Its totient is φ = 89801485273728.

The previous prime is 340500024051637. The next prime is 340500024051751. The reversal of 340500024051642 is 246150420005043.

340500024051642 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 0 + 0 + 0 + 2 + 4 + 0 + 5 + 1 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 340500024051597 and 340500024051606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222074428 + ... + 223602440.

It is an arithmetic number, because the mean of its divisors is an integer number (9458409716028).

Almost surely, 2340500024051642 is an apocalyptic number.

340500024051642 is an abundant number, since it is smaller than the sum of its proper divisors (567507308687046).

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

340500024051642 is a wasteful number, since it uses less digits than its factorization.

340500024051642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664084 (or 1664081 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 340500024051642 its reverse (246150420005043), we get a palindrome (586650444056685).

The spelling of 340500024051642 in words is "three hundred forty trillion, five hundred billion, twenty-four million, fifty-one thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 136043 272086 408129 816258 952301 1224387 1528013 1768559 1904602 2448774 2856903 3056026 3537118 4584039 5305677 5713806 8570709 9168078 10611354 10696091 12379913 13752117 15917031 17141418 19864169 21392182 24759826 27504234 31834062 32088273 37139739 39728338 59592507 64176546 74279478 96264819 111419217 119185014 139049183 178777521 192529638 222838434 278098366 357555042 417147549 834295098 1251442647 2502885294 207875472559 415750945118 623626417677 1247252835354 1455128307913 1870879253031 2702381143267 2910256615826 3741758506062 4365384923739 5404762286534 8107143429801 8730769847478 13096154771217 16214286859602 18916668002869 24321430289403 26192309542434 37833336005738 48642860578806 56750004008607 113500008017214 170250012025821 340500024051642