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434454404454434 = 271316011491013187
BaseRepresentation
bin110001011001000100100110…
…0011100101101100000100010
32002222021102202102210120210202
41202302021030130231200202
5423421100110020020214
64140001333104425202
7160340203102431530
oct14262111434554042
92088242672716722
10434454404454434
11116481095125551
1240888211018202
1315855b4a4c6120
14793d9c3781150
153536251b696de
hex18b224c72d822

434454404454434 has 32 divisors (see below), whose sum is σ = 802570650731136. Its totient is φ = 171764719027200.

The previous prime is 434454404454383. The next prime is 434454404454457.

434454404454434 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4344544044544342 (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 434454404454434.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745215212 + ... + 745797975.

It is an arithmetic number, because the mean of its divisors is an integer number (25080332835348).

Almost surely, 2434454404454434 is an apocalyptic number.

434454404454434 is a deficient number, since it is larger than the sum of its proper divisors (368116246276702).

434454404454434 is a wasteful number, since it uses less digits than its factorization.

434454404454434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491014810.

The product of its (nonzero) digits is 235929600, while the sum is 56.

It can be divided in two parts, 43445440 and 4454434, that added together give a palindrome (47899874).

The spelling of 434454404454434 in words is "four hundred thirty-four trillion, four hundred fifty-four billion, four hundred four million, four hundred fifty-four thousand, four hundred thirty-four".

Divisors: 1 2 7 13 14 26 91 182 1601 3202 11207 20813 22414 41626 145691 291382 1491013187 2982026374 10437092309 19383171431 20874184618 38766342862 135682200017 271364400034 2387112112387 4774224224774 16709784786709 31032457461031 33419569573418 62064914922062 217227202227217 434454404454434