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342334121040 = 24335158488019
BaseRepresentation
bin1001111101101001011…
…01000010010001010000
31012201121212001012101000
410332310231002101100
521102100013333130
6421133252142000
733506234005632
oct4766455022120
91181555035330
10342334121040
11122201760a9a
125641b007900
1326388641c82
14127d7700a52
158d89057260
hex4fb4b42450

342334121040 has 80 divisors (see below), whose sum is σ = 1179150868800. Its totient is φ = 91289098368.

The previous prime is 342334121039. The next prime is 342334121149. The reversal of 342334121040 is 40121433243.

342334121040 is a `hidden beast` number, since 3 + 4 + 233 + 412 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 342334120995 and 342334121013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79241850 + ... + 79246169.

It is an arithmetic number, because the mean of its divisors is an integer number (14739385860).

Almost surely, 2342334121040 is an apocalyptic number.

342334121040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342334121040 is an abundant number, since it is smaller than the sum of its proper divisors (836816747760).

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

342334121040 is a wasteful number, since it uses less digits than its factorization.

342334121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158488041 (or 158488029 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 342334121040 its reverse (40121433243), we get a palindrome (382455554283).

The spelling of 342334121040 in words is "three hundred forty-two billion, three hundred thirty-four million, one hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 158488019 316976038 475464057 633952076 792440095 950928114 1267904152 1426392171 1584880190 1901856228 2377320285 2535808304 2852784342 3169760380 3803712456 4279176513 4754640570 5705568684 6339520760 7131960855 7607424912 8558353026 9509281140 11411137368 12679041520 14263921710 17116706052 19018562280 21395882565 22822274736 28527843420 34233412104 38037124560 42791765130 57055686840 68466824208 85583530260 114111373680 171167060520 342334121040