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30064512144 = 2434115679749
BaseRepresentation
bin11011111111111111…
…000000110010010000
32212121020200110101210
4123333333000302100
5443033003342034
621451134500120
72113012064622
oct337777006220
985536613353
1030064512144
11118286a6a57
1259b0664640
132ab1861a74
141652c3cc12
15bae61d8e9
hex6fffc0c90

30064512144 has 80 divisors (see below), whose sum is σ = 79619904000. Its totient is φ = 9769835520.

The previous prime is 30064512113. The next prime is 30064512151. The reversal of 30064512144 is 44121546003.

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, 3078982 + ... + 3088730.

It is an arithmetic number, because the mean of its divisors is an integer number (995248800).

Almost surely, 230064512144 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 30064512144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39809952000).

30064512144 is an abundant number, since it is smaller than the sum of its proper divisors (49555391856).

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

30064512144 is a wasteful number, since it uses less digits than its factorization.

30064512144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11368 (or 11362 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 30064512144 in words is "thirty billion, sixty-four million, five hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1567 1968 3134 4701 6268 9402 9749 12536 18804 19498 25072 29247 37608 38996 58494 64247 75216 77992 116988 128494 155984 192741 233976 256988 385482 399709 467952 513976 770964 799418 1027952 1199127 1541928 1598836 2398254 3083856 3197672 4796508 6395344 9593016 15276683 19186032 30553366 45830049 61106732 91660098 122213464 183320196 244426928 366640392 626344003 733280784 1252688006 1879032009 2505376012 3758064018 5010752024 7516128036 10021504048 15032256072 30064512144