Search a number
-
+
301053015952 = 24135343962207
BaseRepresentation
bin1000110000110000010…
…10000111011110010000
31001210001220100210001221
410120120022013132100
514413024033002302
6350145110534424
730515242261603
oct4303012073620
91053056323057
10301053015952
11106748640817
124a41a067414
132250a03bb80
14107dcd3033a
157c6ed63937
hex4618287790

301053015952 has 80 divisors (see below), whose sum is σ = 641478942720. Its totient is φ = 136013170176.

The previous prime is 301053015937. The next prime is 301053015953. The reversal of 301053015952 is 259510350103.

It is not an unprimeable number, because it can be changed into a prime (301053015953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4808433 + ... + 4870639.

It is an arithmetic number, because the mean of its divisors is an integer number (8018486784).

Almost surely, 2301053015952 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 301053015952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320739471360).

301053015952 is an abundant number, since it is smaller than the sum of its proper divisors (340425926768).

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

301053015952 is a wasteful number, since it uses less digits than its factorization.

301053015952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62720 (or 62714 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 34.

The spelling of 301053015952 in words is "three hundred one billion, fifty-three million, fifteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 439 689 848 878 1378 1756 2756 3512 5512 5707 7024 11024 11414 22828 23267 45656 46534 62207 91312 93068 124414 186136 248828 302471 372272 497656 604942 808691 995312 1209884 1617382 2419768 3234764 3296971 4839536 6469528 6593942 12939056 13187884 26375768 27308873 42860623 52751536 54617746 85721246 109235492 171442492 218470984 342884984 355015349 436941968 685769968 710030698 1420061396 1447370269 2840122792 2894740538 5680245584 5789481076 11578962152 18815813497 23157924304 37631626994 75263253988 150526507976 301053015952