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301214050440 = 233522731104319
BaseRepresentation
bin1000110001000011100…
…00011010100010001000
31001210111010101011212020
410120201300122202020
514413341244103230
6350213102244440
730522236120112
oct4304160324210
91053433334766
10301214050440
1110682052a376
124a463b86720
1322534502454
141081648c3b2
157c7e072810
hex4621c1a888

301214050440 has 64 divisors (see below), whose sum is σ = 904040524800. Its totient is φ = 80288335872.

The previous prime is 301214050409. The next prime is 301214050441. The reversal of 301214050440 is 44050412103.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 301214050440.

It is not an unprimeable number, because it can be changed into a prime (301214050441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279400 + ... + 824919.

It is an arithmetic number, because the mean of its divisors is an integer number (14125633200).

Almost surely, 2301214050440 is an apocalyptic number.

301214050440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

301214050440 is an abundant number, since it is smaller than the sum of its proper divisors (602826474360).

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

301214050440 is a wasteful number, since it uses less digits than its factorization.

301214050440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106606 (or 1106602 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 301214050440 its reverse (44050412103), we get a palindrome (345264462543).

The spelling of 301214050440 in words is "three hundred one billion, two hundred fourteen million, fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2273 4546 6819 9092 11365 13638 18184 22730 27276 34095 45460 54552 68190 90920 136380 272760 1104319 2208638 3312957 4417276 5521595 6625914 8834552 11043190 13251828 16564785 22086380 26503656 33129570 44172760 66259140 132518280 2510117087 5020234174 7530351261 10040468348 12550585435 15060702522 20080936696 25101170870 30121405044 37651756305 50202341740 60242810088 75303512610 100404683480 150607025220 301214050440