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301354212040 = 23572697722037
BaseRepresentation
bin1000110001010100001…
…11000101101011001000
31001210211220010010102121
410120222013011223020
514414133134241130
6350235030341024
730525560352400
oct4305207055310
91053756103377
10301354212040
11106892661902
124a4a2aba774
13225575681cb
141082ad35800
157c8b50bd7a
hex462a1c5ac8

301354212040 has 96 divisors (see below), whose sum is σ = 788897371320. Its totient is φ = 103301947392.

The previous prime is 301354211993. The next prime is 301354212067. The reversal of 301354212040 is 40212453103.

It can be written as a sum of positive squares in 4 ways, for example, as 130981743396 + 170372468644 = 361914^2 + 412762^2 .

It is a super-2 number, since 2×3013542120402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 301354211996 and 301354212014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13663902 + ... + 13685938.

Almost surely, 2301354212040 is an apocalyptic number.

It is an amenable number.

301354212040 is an abundant number, since it is smaller than the sum of its proper divisors (487543159280).

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

301354212040 is a wasteful number, since it uses less digits than its factorization.

301354212040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29039 (or 29028 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 301354212040 its reverse (40212453103), we get a palindrome (341566665143).

The spelling of 301354212040 in words is "three hundred one billion, three hundred fifty-four million, two hundred twelve thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 6977 13954 22037 27908 34885 44074 48839 55816 69770 88148 97678 110185 139540 154259 176296 195356 220370 244195 279080 308518 341873 390712 440740 488390 617036 683746 771295 881480 976780 1079813 1234072 1367492 1542590 1709365 1953560 2159626 2734984 3085180 3418730 4319252 5399065 6170360 6837460 8638504 10798130 13674920 21596260 43192520 153752149 307504298 615008596 768760745 1076265043 1230017192 1537521490 2152530086 3075042980 4305060172 5381325215 6150085960 7533855301 8610120344 10762650430 15067710602 21525300860 30135421204 37669276505 43050601720 60270842408 75338553010 150677106020 301354212040