Search a number
-
+
300412413120 = 2635674670591
BaseRepresentation
bin1000101111100011111…
…10011010010011000000
31001201102020221210012010
410113301332122103000
514410221034204440
6350001344332520
730463333244061
oct4276176322300
91051366853163
10300412413120
11106449a80396
124a27b614140
13224373c8241
141077bc18568
157c339c5580
hex45f1f9a4c0

300412413120 has 112 divisors (see below), whose sum is σ = 968045580288. Its totient is φ = 78914288640.

The previous prime is 300412413097. The next prime is 300412413131. The reversal of 300412413120 is 21314214003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2270976 + ... + 2399615.

Almost surely, 2300412413120 is an apocalyptic number.

300412413120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300412413120 is an abundant number, since it is smaller than the sum of its proper divisors (667633167168).

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

300412413120 is a wasteful number, since it uses less digits than its factorization.

300412413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670678 (or 4670668 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 300412413120 its reverse (21314214003), we get a palindrome (321726627123).

The spelling of 300412413120 in words is "three hundred billion, four hundred twelve million, four hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 134 160 192 201 240 268 320 335 402 480 536 670 804 960 1005 1072 1340 1608 2010 2144 2680 3216 4020 4288 5360 6432 8040 10720 12864 16080 21440 32160 64320 4670591 9341182 14011773 18682364 23352955 28023546 37364728 46705910 56047092 70058865 74729456 93411820 112094184 140117730 149458912 186823640 224188368 280235460 298917824 312929597 373647280 448376736 560470920 625859194 747294560 896753472 938788791 1120941840 1251718388 1494589120 1564647985 1877577582 2241883680 2503436776 3129295970 3755155164 4483767360 4693943955 5006873552 6258591940 7510310328 9387887910 10013747104 12517183880 15020620656 18775775820 20027494208 25034367760 30041241312 37551551640 50068735520 60082482624 75103103280 100137471040 150206206560 300412413120