Search a number
-
+
134334435221360 = 24511236637076839
BaseRepresentation
bin11110100010110100101100…
…010010101101111101110000
3122121122020122202120111201222
4132202310230102231331300
5120101413410404040420
61153412215415244212
740203225351200513
oct3642645422557560
9577566582514658
10134334435221360
1139891a06655620
1213096ab6679668
1359c58b53ba03a
142525b6db30d7a
15107e530dd1225
hex7a2d2c4adf70

134334435221360 has 80 divisors (see below), whose sum is σ = 355534932165120. Its totient is φ = 46725020939520.

The previous prime is 134334435221359. The next prime is 134334435221387. The reversal of 134334435221360 is 63122534433431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1343344352213602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3318518180 + ... + 3318558659.

It is an arithmetic number, because the mean of its divisors is an integer number (4444186652064).

Almost surely, 2134334435221360 is an apocalyptic number.

134334435221360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134334435221360 is an abundant number, since it is smaller than the sum of its proper divisors (221200496943760).

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

134334435221360 is a wasteful number, since it uses less digits than its factorization.

134334435221360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6637076886 (or 6637076880 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 44.

Adding to 134334435221360 its reverse (63122534433431), we get a palindrome (197456969654791).

The spelling of 134334435221360 in words is "one hundred thirty-four trillion, three hundred thirty-four billion, four hundred thirty-five million, two hundred twenty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 880 920 1012 1265 1840 2024 2530 4048 5060 10120 20240 6637076839 13274153678 26548307356 33185384195 53096614712 66370768390 73007845229 106193229424 132741536780 146015690458 152652767297 265483073560 292031380916 305305534594 365039226145 530966147120 584062761832 610611069188 730078452290 763263836485 1168125523664 1221222138376 1460156904580 1526527672970 1679180440267 2442444276752 2920313809160 3053055345940 3358360880534 5840627618320 6106110691880 6716721761068 8395902201335 12212221383760 13433443522136 16791804402670 26866887044272 33583608805340 67167217610680 134334435221360