Search a number
-
+
3535142200434 = 2321321768359481
BaseRepresentation
bin110011011100010110111…
…001010010010001110010
3110111221211010201201221200
4303130112321102101302
5430404432400403214
611304004422032030
7513256055623335
oct63342671222162
913457733651850
103535142200434
11114327767a529
12491173b78616
131c849349c400
14c315d48061c
1561e55645d09
hex33716e52472

3535142200434 has 72 divisors (see below), whose sum is σ = 8781869214612. Its totient is φ = 1023751572480.

The previous prime is 3535142200427. The next prime is 3535142200493. The reversal of 3535142200434 is 4340022415353.

3535142200434 is a `hidden beast` number, since 3 + 5 + 3 + 5 + 14 + 2 + 200 + 434 = 666.

3535142200434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2032549205625 + 1502592994809 = 1425675^2 + 1225803^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34128027 + ... + 34231454.

Almost surely, 23535142200434 is an apocalyptic number.

3535142200434 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3535142200434 is an abundant number, since it is smaller than the sum of its proper divisors (5246727014178).

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

3535142200434 is a wasteful number, since it uses less digits than its factorization.

3535142200434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68359532 (or 68359516 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 3535142200434 its reverse (4340022415353), we get a palindrome (7875164615787).

The spelling of 3535142200434 in words is "three trillion, five hundred thirty-five billion, one hundred forty-two million, two hundred thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 169 221 234 306 338 442 507 663 1014 1326 1521 1989 2873 3042 3978 5746 8619 17238 25857 51714 68359481 136718962 205078443 410156886 615235329 888673253 1162111177 1230470658 1777346506 2324222354 2666019759 3486333531 5332039518 6972667062 7998059277 10459000593 11552752289 15107445301 15996118554 20918001186 23105504578 30214890602 34658256867 45322335903 69316513734 90644671806 103974770601 135967007709 196396788913 207949541202 271934015418 392793577826 589190366739 1178380733478 1767571100217 3535142200434