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30442213242 = 23272172119429
BaseRepresentation
bin11100010110011111…
…110100111101111010
32220120120101122220100
4130112133310331322
5444321201310432
621552430140230
72125246354200
oct342637647572
986516348810
1030442213242
1111a01921421
125a97051676
132b41b9673c
14168b07b070
15bd287a07c
hex7167f4f7a

30442213242 has 108 divisors (see below), whose sum is σ = 81506317230. Its totient is φ = 8186072832.

The previous prime is 30442213223. The next prime is 30442213253. The reversal of 30442213242 is 24231224403.

30442213242 is a `hidden beast` number, since 3 + 0 + 442 + 213 + 2 + 4 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 28784176281 + 1658036961 = 169659^2 + 40719^2 .

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 195184 + ... + 314612.

Almost surely, 230442213242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30442213242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40753158615).

30442213242 is an abundant number, since it is smaller than the sum of its proper divisors (51064103988).

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

30442213242 is a wasteful number, since it uses less digits than its factorization.

30442213242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119485 (or 119458 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 30442213242 its reverse (24231224403), we get a palindrome (54673437645).

The spelling of 30442213242 in words is "thirty billion, four hundred forty-two million, two hundred thirteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 289 294 306 357 441 578 714 833 867 882 1071 1666 1734 2023 2142 2499 2601 4046 4998 5202 6069 7497 12138 14161 14994 18207 28322 36414 42483 84966 119429 127449 238858 254898 358287 716574 836003 1074861 1672006 2030293 2149722 2508009 4060586 5016018 5852021 6090879 7524027 11704042 12181758 14212051 15048054 17556063 18272637 28424102 34514981 35112126 36545274 42636153 52668189 69029962 85272306 99484357 103544943 105336378 127908459 198968714 207089886 241604867 255816918 298453071 310634829 483209734 596906142 621269658 724814601 895359213 1449629202 1691234069 1790718426 2174443803 3382468138 4348887606 5073702207 10147404414 15221106621 30442213242