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134034535350 = 23552109310093
BaseRepresentation
bin111110011010100010…
…1001011001110110110
3110210222002121212200000
41330311011023032312
54144000320112400
6141324041132130
712453333516042
oct1746505131666
9423862555600
10134034535350
1151931001271
1221b87a8a046
13c8409c8661
1466b724d022
15374715b600
hex1f3514b3b6

134034535350 has 144 divisors (see below), whose sum is σ = 373822084272. Its totient is φ = 35706303360.

The previous prime is 134034535343. The next prime is 134034535357. The reversal of 134034535350 is 53535430431.

134034535350 is a `hidden beast` number, since 1 + 3 + 40 + 34 + 53 + 535 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (134034535343) and next prime (134034535357).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134034535357) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13274904 + ... + 13284996.

Almost surely, 2134034535350 is an apocalyptic number.

134034535350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134034535350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186911042136).

134034535350 is an abundant number, since it is smaller than the sum of its proper divisors (239787548922).

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

134034535350 is a wasteful number, since it uses less digits than its factorization.

134034535350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11213 (or 11196 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 134034535350 its reverse (53535430431), we get a palindrome (187569965781).

The spelling of 134034535350 in words is "one hundred thirty-four billion, thirty-four million, five hundred thirty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 810 1093 1215 1350 2025 2186 2430 3279 4050 5465 6075 6558 9837 10093 10930 12150 16395 19674 20186 27325 29511 30279 32790 49185 50465 54650 59022 60558 81975 88533 90837 98370 100930 147555 151395 163950 177066 181674 245925 252325 265599 272511 295110 302790 442665 454185 491850 504650 531198 545022 737775 756975 817533 885330 908370 1327995 1362555 1475550 1513950 1635066 2213325 2270925 2452599 2655990 2725110 4087665 4426650 4541850 4905198 6639975 6812775 8175330 11031649 12262995 13279950 13625550 20438325 22063298 24525990 33094947 40876650 55158245 61314975 66189894 99284841 110316490 122629950 165474735 198569682 275791225 297854523 330949470 496424205 551582450 595709046 827373675 893563569 992848410 1489272615 1654747350 1787127138 2482121025 2680690707 2978545230 4467817845 4964242050 5361381414 7446363075 8935635690 13403453535 14892726150 22339089225 26806907070 44678178450 67017267675 134034535350