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300440024020 = 225231674638447
BaseRepresentation
bin1000101111100111001…
…11101111001111010100
31001201111011220120020001
410113303213233033110
514410300121232040
6350004212221044
730464120032243
oct4276347571724
91051434816201
10300440024020
11106463619914
124a28890a784
1322440044956
141078176495a
157c3612b59a
hex45f39ef3d4

300440024020 has 96 divisors (see below), whose sum is σ = 663806803968. Its totient is φ = 114002351232.

The previous prime is 300440023999. The next prime is 300440024033. The reversal of 300440024020 is 20420044003.

It is a congruent 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, 35563437 + ... + 35571883.

It is an arithmetic number, because the mean of its divisors is an integer number (6914654208).

Almost surely, 2300440024020 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 300440024020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331903401984).

300440024020 is an abundant number, since it is smaller than the sum of its proper divisors (363366779948).

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

300440024020 is a wasteful number, since it uses less digits than its factorization.

300440024020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9109 (or 9107 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 300440024020 its reverse (20420044003), we get a palindrome (320860068023).

The spelling of 300440024020 in words is "three hundred billion, four hundred forty million, twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 167 230 334 460 463 668 835 926 1670 1852 2315 3340 3841 4630 7682 8447 9260 10649 15364 16894 19205 21298 33788 38410 42235 42596 53245 76820 77321 84470 106490 154642 168940 194281 212980 309284 386605 388562 773210 777124 971405 1410649 1546420 1778383 1942810 2821298 3556766 3885620 3910961 5642596 7053245 7113532 7821922 8891915 14106490 15643844 17783830 19554805 28212980 32444927 35567660 39109610 64889854 78219220 89952103 129779708 162224635 179904206 324449270 359808412 449760515 648898540 653130487 899521030 1306260974 1799042060 2612521948 3265652435 6531304870 13062609740 15022001201 30044002402 60088004804 75110006005 150220012010 300440024020