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340131188364 = 2231159233187441
BaseRepresentation
bin1001111001100010110…
…01100000111010001100
31012111221022211121211220
410330301121200322030
521033042041011424
6420130515443340
733400524253452
oct4746131407214
91174838747756
10340131188364
11121281209080
1255b052b6550
13260c7124806
1412668cdc9d2
158caa95b579
hex4f31660e8c

340131188364 has 96 divisors (see below), whose sum is σ = 884246388480. Its totient is φ = 100887705600.

The previous prime is 340131188359. The next prime is 340131188407. The reversal of 340131188364 is 463881131043.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1720884 + ... + 1908324.

It is an arithmetic number, because the mean of its divisors is an integer number (9210899880).

Almost surely, 2340131188364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340131188364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442123194240).

340131188364 is an abundant number, since it is smaller than the sum of its proper divisors (544115200116).

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

340131188364 is a wasteful number, since it uses less digits than its factorization.

340131188364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187751 (or 187749 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 340131188364 in words is "three hundred forty billion, one hundred thirty-one million, one hundred eighty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 233 236 354 466 649 699 708 932 1298 1398 1947 2563 2596 2796 3894 5126 7689 7788 10252 13747 15378 27494 30756 41241 54988 82482 151217 164964 187441 302434 374882 453651 562323 604868 749764 907302 1124646 1814604 2061851 2249292 4123702 6185553 8247404 11059019 12371106 22118038 24742212 33177057 43673753 44236076 66354114 87347506 121649209 131021259 132708228 174695012 243298418 262042518 364947627 480411283 486596836 524085036 729895254 960822566 1441233849 1459790508 1921645132 2576751427 2882467698 5153502854 5764935396 7730254281 10307005708 15460508562 28344265697 30921017124 56688531394 85032797091 113377062788 170065594182 340131188364