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301434210040 = 235173989111127
BaseRepresentation
bin1000110001011101110…
…00010000011011111000
31001211001110122110001111
410120232320100123320
514414314124210130
6350251005130104
730530551336615
oct4305670203370
91054043573044
10301434210040
11106923831557
124a505859934
132256acc76c2
14108377db50c
157c9356002a
hex462ee106f8

301434210040 has 64 divisors (see below), whose sum is σ = 718309166400. Its totient is φ = 113451644928.

The previous prime is 301434210031. The next prime is 301434210041. The reversal of 301434210040 is 40012434103.

It is a junction number, because it is equal to n+sod(n) for n = 301434209993 and 301434210020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301434210041) 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, 2656957 + ... + 2768083.

It is an arithmetic number, because the mean of its divisors is an integer number (11223580725).

Almost surely, 2301434210040 is an apocalyptic number.

It is an amenable number.

301434210040 is an abundant number, since it is smaller than the sum of its proper divisors (416874956360).

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

301434210040 is a wasteful number, since it uses less digits than its factorization.

301434210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115144 (or 115140 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 301434210040 its reverse (40012434103), we get a palindrome (341446644143).

The spelling of 301434210040 in words is "three hundred one billion, four hundred thirty-four million, two hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 3989 7978 15956 19945 31912 39890 67813 79780 111127 135626 159560 222254 271252 339065 444508 542504 555635 678130 889016 1111270 1356260 1889159 2222540 2712520 3778318 4445080 7556636 9445795 15113272 18891590 37783180 75566360 443285603 886571206 1773142412 2216428015 3546284824 4432856030 7535855251 8865712060 15071710502 17731424120 30143421004 37679276255 60286842008 75358552510 150717105020 301434210040