Search a number
-
+
134515104000 = 283531401199
BaseRepresentation
bin111110101000110111…
…0011001100100000000
3110212012120220021220220
41331101232121210000
54200441331312000
6141443445303040
712501260342604
oct1752156314400
9425176807826
10134515104000
11520582a6642
12220a0a04a80
13c8b94390c4
146720dc7504
1537744371a0
hex1f51b99900

134515104000 has 144 divisors (see below), whose sum is σ = 446792236800. Its totient is φ = 35870668800.

The previous prime is 134515103981. The next prime is 134515104011. The reversal of 134515104000 is 401515431.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604600 + ... + 796599.

Almost surely, 2134515104000 is an apocalyptic number.

134515104000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134515104000 is an abundant number, since it is smaller than the sum of its proper divisors (312277132800).

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

134515104000 is an equidigital number, since it uses as much as digits as its factorization.

134515104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401233 (or 1401209 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 134515104000 its reverse (401515431), we get a palindrome (134916619431).

The spelling of 134515104000 in words is "one hundred thirty-four billion, five hundred fifteen million, one hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 640 750 768 800 960 1000 1200 1280 1500 1600 1920 2000 2400 3000 3200 3840 4000 4800 6000 6400 8000 9600 12000 16000 19200 24000 32000 48000 96000 1401199 2802398 4203597 5604796 7005995 8407194 11209592 14011990 16814388 21017985 22419184 28023980 33628776 35029975 42035970 44838368 56047960 67257552 70059950 84071940 89676736 105089925 112095920 134515104 140119900 168143880 175149875 179353472 210179850 224191840 269030208 280239800 336287760 350299750 358706944 420359700 448383680 525449625 538060416 560479600 672575520 700599500 840719400 896767360 1050899250 1076120832 1120959200 1345151040 1401199000 1681438800 1793534720 2101798500 2241918400 2690302080 2802398000 3362877600 4203597000 4483836800 5380604160 5604796000 6725755200 8407194000 8967673600 11209592000 13451510400 16814388000 22419184000 26903020800 33628776000 44838368000 67257552000 134515104000