Search a number
-
+
134312034120 = 2335111011007441
BaseRepresentation
bin111110100010110011…
…1101111111101001000
3110211200102210021102020
41331011213233331020
54200032340042440
6141411353004440
712463243311255
oct1750547577510
9424612707366
10134312034120
1151a637071a0
12220449b3720
13c886348704
14670204642c
1537616c33d0
hex1f459eff48

134312034120 has 128 divisors (see below), whose sum is σ = 443919242880. Its totient is φ = 32238080000.

The previous prime is 134312034083. The next prime is 134312034127. The reversal of 134312034120 is 21430213431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (134312034127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370401 + ... + 637040.

It is an arithmetic number, because the mean of its divisors is an integer number (3468119085).

Almost surely, 2134312034120 is an apocalyptic number.

134312034120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134312034120 is an abundant number, since it is smaller than the sum of its proper divisors (309607208760).

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

134312034120 is a wasteful number, since it uses less digits than its factorization.

134312034120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007567 (or 1007563 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 134312034120 its reverse (21430213431), we get a palindrome (155742247551).

The spelling of 134312034120 in words is "one hundred thirty-four billion, three hundred twelve million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 1010 1111 1212 1320 1515 2020 2222 2424 3030 3333 4040 4444 5555 6060 6666 8888 11110 12120 13332 16665 22220 26664 33330 44440 66660 133320 1007441 2014882 3022323 4029764 5037205 6044646 8059528 10074410 11081851 12089292 15111615 20148820 22163702 24178584 30223230 33245553 40297640 44327404 55409255 60446460 66491106 88654808 101751541 110818510 120892920 132982212 166227765 203503082 221637020 265964424 305254623 332455530 407006164 443274040 508757705 610509246 664911060 814012328 1017515410 1119266951 1221018492 1329822120 1526273115 2035030820 2238533902 2442036984 3052546230 3357800853 4070061640 4477067804 5596334755 6105092460 6715601706 8954135608 11192669510 12210184920 13431203412 16789004265 22385339020 26862406824 33578008530 44770678040 67156017060 134312034120