Search a number
-
+
420305315123512 = 23713976735910973
BaseRepresentation
bin101111110010000111111010…
…1000000010101000100111000
32001010011210111001222220022001
41133210033311000111010320
5420042240241132423022
64045525332435510344
7154350025345462540
oct13744176500250470
92033153431886261
10420305315123512
11111a16535060995
123b181b9b7583b4
131506a80c883690
1475b0c58898320
15338d18c0c4b27
hex17e43f5015138

420305315123512 has 64 divisors (see below), whose sum is σ = 969945437119680. Its totient is φ = 166272899668992.

The previous prime is 420305315123509. The next prime is 420305315123543. The reversal of 420305315123512 is 215321513503024.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68150458 + ... + 74061430.

It is an arithmetic number, because the mean of its divisors is an integer number (15155397454995).

Almost surely, 2420305315123512 is an apocalyptic number.

It is an amenable number.

420305315123512 is an abundant number, since it is smaller than the sum of its proper divisors (549640121996168).

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

420305315123512 is a wasteful number, since it uses less digits than its factorization.

420305315123512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6008672 (or 6008668 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

Adding to 420305315123512 its reverse (215321513503024), we get a palindrome (635626828626536).

The spelling of 420305315123512 in words is "four hundred twenty trillion, three hundred five billion, three hundred fifteen million, one hundred twenty-three thousand, five hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 97673 195346 390692 683711 781384 1269749 1367422 2539498 2734844 5078996 5469688 5910973 8888243 10157992 11821946 17776486 23643892 35552972 41376811 47287784 71105944 76842649 82753622 153685298 165507244 307370596 331014488 537898543 614741192 1075797086 2151594172 4303188344 577342465829 1154684931658 2309369863316 4041397260803 4618739726632 7505452055777 8082794521606 15010904111554 16165589043212 30021808223108 32331178086424 52538164390439 60043616446216 105076328780878 210152657561756 420305315123512