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301413320440 = 235171074142569
BaseRepresentation
bin1000110001011011010…
…00100100011011111000
31001211000000100010220121
410120231220210123320
514414243302223230
6350244541303024
730530205644161
oct4305550443370
91054000303817
10301413320440
11106912a63921
124a4ba864a74
13225668923ab
1410834b20768
157c917d577a
hex462da246f8

301413320440 has 64 divisors (see below), whose sum is σ = 724784047200. Its totient is φ = 112412725248.

The previous prime is 301413320431. The next prime is 301413320479. The reversal of 301413320440 is 44023314103.

It is a super-2 number, since 2×3014133204402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1998525 + ... + 2144044.

Almost surely, 2301413320440 is an apocalyptic number.

It is an amenable number.

301413320440 is an abundant number, since it is smaller than the sum of its proper divisors (423370726760).

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

301413320440 is a wasteful number, since it uses less digits than its factorization.

301413320440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142704 (or 4142700 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 301413320440 its reverse (44023314103), we get a palindrome (345436634543).

The spelling of 301413320440 in words is "three hundred one billion, four hundred thirteen million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 107 136 170 214 340 428 535 680 856 1070 1819 2140 3638 4280 7276 9095 14552 18190 36380 72760 4142569 8285138 16570276 20712845 33140552 41425690 70423673 82851380 140847346 165702760 281694692 352118365 443254883 563389384 704236730 886509766 1408473460 1773019532 2216274415 2816946920 3546039064 4432548830 7535333011 8865097660 15070666022 17730195320 30141332044 37676665055 60282664088 75353330110 150706660220 301413320440