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342440144600 = 23522686163743
BaseRepresentation
bin1001111101110110000…
…01011110111011011000
31012201220020112202100112
410332323001132323120
521102304134111400
6421152000423452
733511662126341
oct4767301367330
91181806482315
10342440144600
11122256597074
125644a617b88
13263a45b43c8
141280781d0c8
158d934eb835
hex4fbb05eed8

342440144600 has 48 divisors (see below), whose sum is σ = 796215467520. Its totient is φ = 136968809600.

The previous prime is 342440144569. The next prime is 342440144603. The reversal of 342440144600 is 6441044243.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342440144603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5340329 + ... + 5404071.

It is an arithmetic number, because the mean of its divisors is an integer number (16587822240).

Almost surely, 2342440144600 is an apocalyptic number.

It is an amenable number.

342440144600 is an abundant number, since it is smaller than the sum of its proper divisors (453775322920).

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

342440144600 is a wasteful number, since it uses less digits than its factorization.

342440144600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90620 (or 90611 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 342440144600 its reverse (6441044243), we get a palindrome (348881188843).

The spelling of 342440144600 in words is "three hundred forty-two billion, four hundred forty million, one hundred forty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 26861 53722 63743 107444 127486 134305 214888 254972 268610 318715 509944 537220 637430 671525 1074440 1274860 1343050 1593575 2549720 2686100 3187150 5372200 6374300 12748600 1712200723 3424401446 6848802892 8561003615 13697605784 17122007230 34244014460 42805018075 68488028920 85610036150 171220072300 342440144600