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30042122344 = 23134341916033
BaseRepresentation
bin11011111110101001…
…100110100001101000
32212112200112221100221
4123332221212201220
5443011240403334
621445014535424
72112320553343
oct337651464150
985480487327
1030042122344
1111816aa4193
1259a5067574
132aaa022970
14164dc9145a
15bac6998b4
hex6fea66868

30042122344 has 64 divisors (see below), whose sum is σ = 62224747200. Its totient is φ = 13509974016.

The previous prime is 30042122329. The next prime is 30042122353. The reversal of 30042122344 is 44322124003.

It is a happy number.

It is a super-2 number, since 2×300421223442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1865752 + ... + 1881784.

It is an arithmetic number, because the mean of its divisors is an integer number (972261675).

Almost surely, 230042122344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30042122344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31112373600).

30042122344 is an abundant number, since it is smaller than the sum of its proper divisors (32182624856).

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

30042122344 is a wasteful number, since it uses less digits than its factorization.

30042122344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16514 (or 16510 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 30042122344 its reverse (44322124003), we get a palindrome (74364246347).

The spelling of 30042122344 in words is "thirty billion, forty-two million, one hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 43 52 86 104 172 344 419 559 838 1118 1676 2236 3352 4472 5447 10894 16033 18017 21788 32066 36034 43576 64132 72068 128264 144136 208429 234221 416858 468442 689419 833716 936884 1378838 1667432 1873768 2757676 5515352 6717827 8962447 13435654 17924894 26871308 35849788 53742616 71699576 87331751 174663502 288866561 349327004 577733122 698654008 1155466244 2310932488 3755265293 7510530586 15021061172 30042122344