Search a number
-
+
134601066300 = 2235218114591699
BaseRepresentation
bin111110101011011011…
…0010100011100111100
3110212102120122122000210
41331112312110130330
54201130333110200
6141500155552420
712503353120551
oct1752666243474
9425376578023
10134601066300
11520a187a368
122210575b710
13c9011a627c
14672c5a2a28
15377bc67650
hex1f56d9473c

134601066300 has 144 divisors (see below), whose sum is σ = 392096432000. Its totient is φ = 35649849600.

The previous prime is 134601066287. The next prime is 134601066329. The reversal of 134601066300 is 3660106431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79222851 + ... + 79224549.

Almost surely, 2134601066300 is an apocalyptic number.

134601066300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134601066300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196048216000).

134601066300 is an abundant number, since it is smaller than the sum of its proper divisors (257495365700).

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

134601066300 is a wasteful number, since it uses less digits than its factorization.

134601066300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 134601066300 in words is "one hundred thirty-four billion, six hundred one million, sixty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 181 300 362 543 724 905 1086 1459 1699 1810 2172 2715 2918 3398 3620 4377 4525 5097 5430 5836 6796 7295 8495 8754 9050 10194 10860 13575 14590 16990 17508 18100 20388 21885 25485 27150 29180 33980 36475 42475 43770 50970 54300 72950 84950 87540 101940 109425 127425 145900 169900 218850 254850 264079 307519 437700 509700 528158 615038 792237 922557 1056316 1230076 1320395 1537595 1584474 1845114 2478841 2640790 3075190 3168948 3690228 3961185 4612785 4957682 5281580 6150380 6601975 7436523 7687975 7922370 9225570 9915364 12394205 13203950 14873046 15375950 15844740 18451140 19805925 23063925 24788410 26407900 29746092 30751900 37182615 39611850 46127850 49576820 61971025 74365230 79223700 92255700 123942050 148730460 185913075 247884100 371826150 448670221 743652300 897340442 1346010663 1794680884 2243351105 2692021326 4486702210 5384042652 6730053315 8973404420 11216755525 13460106630 22433511050 26920213260 33650266575 44867022100 67300533150 134601066300