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30442054335 = 3573112512143
BaseRepresentation
bin11100010110011111…
…001110001010111111
32220120120002120220220
4130112133032022333
5444321131214320
621552422512423
72125245123000
oct342637161277
986516076826
1030442054335
1111a01822aa0
125a96b95713
132b41b3c304
14168b0391a7
15bd2847e40
hex7167ce2bf

30442054335 has 128 divisors (see below), whose sum is σ = 62241177600. Its totient is φ = 12594960000.

The previous prime is 30442054333. The next prime is 30442054387. The reversal of 30442054335 is 53345024403.

It is a happy number.

It is not a de Polignac number, because 30442054335 - 21 = 30442054333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 30442054296 and 30442054305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30442054333) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14204274 + ... + 14206416.

It is an arithmetic number, because the mean of its divisors is an integer number (486259200).

Almost surely, 230442054335 is an apocalyptic number.

30442054335 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

30442054335 is an abundant number, since it is smaller than the sum of its proper divisors (31799123265).

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

30442054335 is a wasteful number, since it uses less digits than its factorization.

30442054335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 33.

Adding to 30442054335 its reverse (53345024403), we get a palindrome (83787078738).

The spelling of 30442054335 in words is "thirty billion, four hundred forty-two million, fifty-four thousand, three hundred thirty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 251 343 385 539 735 753 1029 1155 1255 1617 1715 1757 2143 2695 2761 3765 3773 5145 5271 6429 8085 8283 8785 10715 11319 12299 13805 15001 18865 19327 23573 26355 32145 36897 41415 45003 56595 57981 61495 70719 75005 86093 96635 105007 117865 135289 165011 184485 225015 258279 289905 315021 353595 405867 430465 495033 525035 537893 676445 735049 825055 947023 1155077 1291395 1575105 1613679 2029335 2205147 2475165 2689465 2841069 3465231 3675245 3765251 4735115 5775385 5916823 8068395 8085539 11025735 11295753 14205345 17326155 17750469 18826255 24256617 26356757 29584115 40427695 41417761 56478765 79070271 88752345 121283085 124253283 131783785 184497299 207088805 289924327 395351355 553491897 621266415 869772981 922486495 1449621635 2029470289 2767459485 4348864905 6088410867 10147351445 30442054335