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30541451232 = 25323103134293
BaseRepresentation
bin11100011100011010…
…011000111111100000
32220211111010110211110
4130130122120333200
51000022102414412
622010333143320
72130563023605
oct343432307740
986744113743
1030541451232
1111a52942396
125b0432ab40
132b59601446
14169a3106ac
15bdb42dd3c
hex71c698fe0

30541451232 has 96 divisors (see below), whose sum is σ = 84469851648. Its totient is φ = 9643239936.

The previous prime is 30541451207. The next prime is 30541451249. The reversal of 30541451232 is 23215414503.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 30541451232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160278 + ... + 294570.

It is an arithmetic number, because the mean of its divisors is an integer number (879894288).

Almost surely, 230541451232 is an apocalyptic number.

30541451232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30541451232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42234925824).

30541451232 is an abundant number, since it is smaller than the sum of its proper divisors (53928400416).

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

30541451232 is a wasteful number, since it uses less digits than its factorization.

30541451232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134432 (or 134424 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 30541451232 its reverse (23215414503), we get a palindrome (53756865735).

The spelling of 30541451232 in words is "thirty billion, five hundred forty-one million, four hundred fifty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 103 138 184 206 276 309 368 412 552 618 736 824 1104 1236 1648 2208 2369 2472 3296 4738 4944 7107 9476 9888 14214 18952 28428 37904 56856 75808 113712 134293 227424 268586 402879 537172 805758 1074344 1611516 2148688 3088739 3223032 4297376 6177478 6446064 9266217 12354956 12892128 13832179 18532434 24709912 27664358 37064868 41496537 49419824 55328716 74129736 82993074 98839648 110657432 148259472 165986148 221314864 296518944 318140117 331972296 442629728 636280234 663944592 954420351 1272560468 1327889184 1908840702 2545120936 3817681404 5090241872 7635362808 10180483744 15270725616 30541451232