Search a number
-
+
1434523616656 = 241323127432
BaseRepresentation
bin10100111000000000010…
…001010100010110010000
312002010202102021020022121
4110320000101110112100
5142000401021213111
63015002215344024
7205432555360444
oct24700021242620
95063672236277
101434523616656
11503418202489
121b202b082014
13a5376224100
144d60774a824
15274ade8e871
hex14e00454590

1434523616656 has 135 divisors (see below), whose sum is σ = 3114042726177. Its totient is φ = 639867795840.

The previous prime is 1434523616641. The next prime is 1434523616761. The reversal of 1434523616656 is 6566163254341.

The square root of 1434523616656 is 1197716.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 212207635600 + 1222315981056 = 460660^2 + 1105584^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1930717821 + ... + 1930718563.

Almost surely, 21434523616656 is an apocalyptic number.

1434523616656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1434523616656 is the 1197716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434523616656

1434523616656 is an abundant number, since it is smaller than the sum of its proper divisors (1679519109521).

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

1434523616656 is an frugal number, since it uses more digits than its factorization.

1434523616656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 789 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 52.

The spelling of 1434523616656 in words is "one trillion, four hundred thirty-four billion, five hundred twenty-three million, six hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 169 208 248 338 403 496 676 743 806 961 1352 1486 1612 1922 2704 2972 3224 3844 5239 5944 6448 7688 9659 10478 11888 12493 15376 19318 20956 23033 24986 38636 41912 46066 49972 77272 83824 92132 99944 125567 154544 162409 184264 199888 251134 299429 324818 368528 502268 552049 598858 649636 714023 1004536 1104098 1197716 1299272 1428046 2009072 2208196 2395432 2598544 2856092 3892577 4416392 4790864 5712184 7176637 7785154 8832784 9282299 11424368 14353274 15570308 17113519 18564598 28706548 31140616 34227038 37129196 57413096 62281232 68454076 74258392 93296281 114826192 120669887 136908152 148516784 186592562 222475747 241339774 273816304 373185124 444951494 482679548 530519089 746370248 889902988 965359096 1061038178 1492740496 1779805976 1930718192 2122076356 2892184711 3559611952 4244152712 5784369422 6896748157 8488305424 11568738844 13793496314 23137477688 27586992628 46274955376 55173985256 89657726041 110347970512 179315452082 358630904164 717261808328 1434523616656