Search a number
-
+
146700121236 = 223241316916007
BaseRepresentation
bin1000100010100000000…
…0100011010010010100
3112000122210011022012120
42020220000203102110
54400420212334421
6151220524415540
713412236312314
oct2105000432224
9460583138176
10146700121236
1157240437419
12245216a75b0
1310aaba10386
147159407444
153c390528c6
hex2228023494

146700121236 has 48 divisors (see below), whose sum is σ = 343850559360. Its totient is φ = 48678727680.

The previous prime is 146700121231. The next prime is 146700121277. The reversal of 146700121236 is 632121007641.

146700121236 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146700121197 and 146700121206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146700121231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9156745 + ... + 9172751.

It is an arithmetic number, because the mean of its divisors is an integer number (7163553320).

Almost surely, 2146700121236 is an apocalyptic number.

It is an amenable number.

146700121236 is an abundant number, since it is smaller than the sum of its proper divisors (197150438124).

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

146700121236 is a wasteful number, since it uses less digits than its factorization.

146700121236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19424 (or 19422 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

Adding to 146700121236 its reverse (632121007641), we get a palindrome (778821128877).

The spelling of 146700121236 in words is "one hundred forty-six billion, seven hundred million, one hundred twenty-one thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 12 241 482 723 964 1446 2892 3169 6338 9507 12676 16007 19014 32014 38028 48021 64028 96042 192084 763729 1527458 2291187 3054916 3857687 4582374 7715374 9164748 11573061 15430748 23146122 46292244 50726183 101452366 152178549 202904732 304357098 608714196 12225010103 24450020206 36675030309 48900040412 73350060618 146700121236