Search a number
-
+
134505343362 = 2313192292511579
BaseRepresentation
bin111110101000100100…
…1001010100110000010
3110212011220112101211210
41331101021022212002
54200431331441422
6141442500150550
712501111361125
oct1752111124602
9425156471753
10134505343362
115205283a2a5
1222099698456
13c8b73cc490
14671d9a63bc
15377365a10c
hex1f5124a982

134505343362 has 128 divisors (see below), whose sum is σ = 307698048000. Its totient is φ = 38856672000.

The previous prime is 134505343309. The next prime is 134505343367. The reversal of 134505343362 is 263343505431.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 134505343362.

It is not an unprimeable number, because it can be changed into a prime (134505343367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85183089 + ... + 85184667.

It is an arithmetic number, because the mean of its divisors is an integer number (2403891000).

Almost surely, 2134505343362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134505343362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153849024000).

134505343362 is an abundant number, since it is smaller than the sum of its proper divisors (173192704638).

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

134505343362 is a wasteful number, since it uses less digits than its factorization.

134505343362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096.

The product of its (nonzero) digits is 388800, while the sum is 39.

Adding to 134505343362 its reverse (263343505431), we get a palindrome (397848848793).

The spelling of 134505343362 in words is "one hundred thirty-four billion, five hundred five million, three hundred forty-three thousand, three hundred sixty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 229 247 251 458 494 502 687 741 753 1374 1482 1506 1579 2977 3158 3263 4351 4737 4769 5954 6526 8702 8931 9474 9538 9789 13053 14307 17862 19578 20527 26106 28614 30001 41054 56563 57479 60002 61581 61997 90003 113126 114958 123162 123994 169689 172437 180006 185991 339378 344874 361591 371982 390013 396329 723182 747227 780026 792658 1084773 1092101 1170039 1188987 1494454 2169546 2184202 2241681 2340078 2377974 3276303 4483362 4700683 5152277 6552606 6870229 7530251 9401366 10304554 13740458 14102049 14197313 15060502 15456831 20610687 22590753 28204098 28394626 30913662 41221374 42591939 45181506 85183878 89312977 90759341 97893263 178625954 181518682 195786526 267938931 272278023 293679789 535877862 544556046 587359578 1179871433 1724427479 2359742866 3448854958 3539614299 5173282437 7079228598 10346564874 22417557227 44835114454 67252671681 134505343362