Search a number
-
+
15034500310300 = 22524322736741969
BaseRepresentation
bin1101101011000111111000…
…0011001110010100011100
31222020021200011202201202221
43122301332003032110130
53432311124034412200
651550430514555124
73111130635040462
oct332617603162434
958207604681687
1015034500310300
114877106527319
121829953898aa4
13850993a69683
1439d9608aa832
151b11363dd91a
hexdac7e0ce51c

15034500310300 has 144 divisors (see below), whose sum is σ = 33622813002240. Its totient is φ = 5831994147840.

The previous prime is 15034500310267. The next prime is 15034500310309. The reversal of 15034500310300 is 301300543051.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15034500310309) 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 47 ways as a sum of consecutive naturals, for example, 358207716 + ... + 358249684.

It is an arithmetic number, because the mean of its divisors is an integer number (233491756960).

Almost surely, 215034500310300 is an apocalyptic number.

15034500310300 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 15034500310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16811406501120).

15034500310300 is an abundant number, since it is smaller than the sum of its proper divisors (18588312691940).

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

15034500310300 is a wasteful number, since it uses less digits than its factorization.

15034500310300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42620 (or 42613 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 15034500310300 its reverse (301300543051), we get a palindrome (15335800853351).

The spelling of 15034500310300 in words is "fifteen trillion, thirty-four billion, five hundred million, three hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 227 367 430 454 734 860 908 1075 1135 1468 1835 2150 2270 3670 4300 4540 5675 7340 9175 9761 11350 15781 18350 19522 22700 31562 36700 39044 41969 48805 63124 78905 83309 83938 97610 157810 166618 167876 195220 209845 244025 315620 333236 394525 416545 419690 488050 789050 833090 839380 976100 1049225 1578100 1666180 1804667 2082725 2098450 3582287 3609334 4165450 4196900 7164574 7218668 8330900 9023335 9526963 14329148 15402623 17911435 18046670 19053926 30805246 35822870 36093340 38107852 45116675 47634815 61610492 71645740 77013115 89557175 90233350 95269630 154026230 179114350 180466700 190539260 238174075 308052460 358228700 385065575 409659409 476348150 662312789 770131150 819318818 952696300 1324625578 1540262300 1638637636 2048297045 2649251156 3311563945 3496395421 4096594090 6623127890 6992790842 8193188180 10241485225 13246255780 13985581684 16557819725 17481977105 20482970450 33115639450 34963954210 40965940900 66231278900 69927908420 87409885525 150345003103 174819771050 300690006206 349639542100 601380012412 751725015515 1503450031030 3006900062060 3758625077575 7517250155150 15034500310300