Search a number
-
+
301404400040 = 23546172722483
BaseRepresentation
bin1000110001011010001…
…10100010100110101000
31001210222101112221102102
410120231012202212220
514414234011300130
6350244022152532
730530040062162
oct4305506424650
91053871487372
10301404400040
11106908a20897
124a4b7882748
1322564a8b053
141083387b932
157c90b22645
hex462d1a29a8

301404400040 has 64 divisors (see below), whose sum is σ = 680596076160. Its totient is φ = 120129419520.

The previous prime is 301404400039. The next prime is 301404400043. The reversal of 301404400040 is 40004404103.

It is a super-2 number, since 2×3014044000402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 301404399985 and 301404400021.

It is not an unprimeable number, because it can be changed into a prime (301404400043) 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, 13394639 + ... + 13417121.

It is an arithmetic number, because the mean of its divisors is an integer number (10634313690).

Almost surely, 2301404400040 is an apocalyptic number.

It is an amenable number.

301404400040 is an abundant number, since it is smaller than the sum of its proper divisors (379191676120).

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

301404400040 is a wasteful number, since it uses less digits than its factorization.

301404400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23682 (or 23678 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 301404400040 its reverse (40004404103), we get a palindrome (341408804143).

The spelling of 301404400040 in words is "three hundred one billion, four hundred four million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 461 727 922 1454 1844 2305 2908 3635 3688 4610 5816 7270 9220 14540 18440 22483 29080 44966 89932 112415 179864 224830 335147 449660 670294 899320 1340588 1675735 2681176 3351470 6702940 10364663 13405880 16345141 20729326 32690282 41458652 51823315 65380564 81725705 82917304 103646630 130761128 163451410 207293260 326902820 414586520 653805640 7535110001 15070220002 30140440004 37675550005 60280880008 75351100010 150702200020 301404400040