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30324141204 = 22371770130293
BaseRepresentation
bin11100001111011101…
…011010110010010100
32220021100012222111220
4130033131122302110
5444100440004304
621533011330340
72122313642640
oct341735326224
986240188456
1030324141204
1111951207125
125a635b09b0
132b23596226
141679503c20
15bc7305ad9
hex70f75ac94

30324141204 has 96 divisors (see below), whose sum is σ = 85746076416. Its totient is φ = 8142489600.

The previous prime is 30324141179. The next prime is 30324141269. The reversal of 30324141204 is 40214142303.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 985882 + ... + 1016174.

It is an arithmetic number, because the mean of its divisors is an integer number (893188296).

Almost surely, 230324141204 is an apocalyptic number.

30324141204 is a gapful number since it is divisible by the number (34) 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 30324141204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42873038208).

30324141204 is an abundant number, since it is smaller than the sum of its proper divisors (55421935212).

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

30324141204 is a wasteful number, since it uses less digits than its factorization.

30324141204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31025 (or 31023 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 30324141204 its reverse (40214142303), we get a palindrome (70538283507).

It can be divided in two parts, 30324 and 141204, that multiplied together give a square (4281870096 = 654362).

The spelling of 30324141204 in words is "thirty billion, three hundred twenty-four million, one hundred forty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 701 714 1402 1428 2103 2804 4206 4907 8412 9814 11917 14721 19628 23834 29442 30293 35751 47668 58884 60586 71502 83419 90879 121172 143004 166838 181758 212051 250257 333676 363516 424102 500514 514981 636153 848204 1001028 1029962 1272306 1544943 2059924 2544612 3089886 3604867 6179772 7209734 10814601 14419468 21235393 21629202 42470786 43258404 63706179 84941572 127412358 148647751 254824716 297295502 361001681 445943253 594591004 722003362 891886506 1083005043 1444006724 1783773012 2166010086 2527011767 4332020172 5054023534 7581035301 10108047068 15162070602 30324141204