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345641265524142 = 2357101599431371
BaseRepresentation
bin100111010010110111110000…
…0110110011110110110101110
31200022210222112002012121100000
41032211233200312132312232
5330300441302433233032
63223041223314445130
7132542520526365450
oct11645574066366656
91608728462177300
10345641265524142
11a014a7015a2705
12329237145937a6
1311ab2aa69ca233
14614d1ab2142d0
1529e5dc8781e7c
hex13a5be0d9edae

345641265524142 has 48 divisors (see below), whose sum is σ = 887572632465792. Its totient is φ = 98754647291640.

The previous prime is 345641265524131. The next prime is 345641265524183. The reversal of 345641265524142 is 241425562146543.

345641265524142 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 4 + 1 + 2 + 6 + 552 + 41 + 42 = 666.

It is a super-2 number, since 2×3456412655241422 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50799712284 + ... + 50799719087.

It is an arithmetic number, because the mean of its divisors is an integer number (18491096509704).

Almost surely, 2345641265524142 is an apocalyptic number.

345641265524142 is an abundant number, since it is smaller than the sum of its proper divisors (541931366941650).

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

345641265524142 is a wasteful number, since it uses less digits than its factorization.

345641265524142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101599431395 (or 101599431383 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 54.

The spelling of 345641265524142 in words is "three hundred forty-five trillion, six hundred forty-one billion, two hundred sixty-five million, five hundred twenty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 101599431371 203198862742 304798294113 609596588226 711196019597 914394882339 1422392039194 1828789764678 2133588058791 2743184647017 4267176117582 5486369294034 6400764176373 8229553941051 12801528352746 16459107882102 19202292529119 24688661823153 38404585058238 49377323646306 57606877587357 115213755174714 172820632762071 345641265524142