Search a number
-
+
34134114155430 = 23519179334549781
BaseRepresentation
bin1111100001011011101111…
…01111111011101110100110
311110212012010002211110022010
413300231313233323232212
513433223131210433210
6200332555013015050
710122052112043042
oct760556757735646
9143765102743263
1034134114155430
11a970218625703
1239b3505924486
131607aaa58c7b3
14860158343022
153e2d8edbb920
hex1f0b77bfbba6

34134114155430 has 64 divisors (see below), whose sum is σ = 86715303494400. Its totient is φ = 8575179960960.

The previous prime is 34134114155333. The next prime is 34134114155431. The reversal of 34134114155430 is 3455141143143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34134114155431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167172861 + ... + 167376920.

It is an arithmetic number, because the mean of its divisors is an integer number (1354926617100).

Almost surely, 234134114155430 is an apocalyptic number.

34134114155430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34134114155430 is an abundant number, since it is smaller than the sum of its proper divisors (52581189338970).

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

34134114155430 is a wasteful number, since it uses less digits than its factorization.

34134114155430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334549989.

The product of its (nonzero) digits is 172800, while the sum is 39.

Adding to 34134114155430 its reverse (3455141143143), we get a palindrome (37589255298573).

The spelling of 34134114155430 in words is "thirty-four trillion, one hundred thirty-four billion, one hundred fourteen million, one hundred fifty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 179 190 285 358 537 570 895 1074 1790 2685 3401 5370 6802 10203 17005 20406 34010 51015 102030 334549781 669099562 1003649343 1672748905 2007298686 3345497810 5018246715 6356445839 10036493430 12712891678 19069337517 31782229195 38138675034 59884410799 63564458390 95346687585 119768821598 179653232397 190693375170 299422053995 359306464794 598844107990 898266161985 1137803805181 1796532323970 2275607610362 3413411415543 5689019025905 6826822831086 11378038051810 17067057077715 34134114155430