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30145432320 = 283252616791
BaseRepresentation
bin11100000100110011…
…101100101100000000
32212210212221122000100
4130010303230230000
5443214212313240
621503145122400
72115013642533
oct340463545400
985725848010
1030145432320
111186a346533
125a13789400
132ac5554c23
14165d8a4a1a
15bb67a4e30
hex704cecb00

30145432320 has 108 divisors (see below), whose sum is σ = 104300095536. Its totient is φ = 8038778880.

The previous prime is 30145432309. The next prime is 30145432367. The reversal of 30145432320 is 2323454103.

30145432320 is a `hidden beast` number, since 301 + 4 + 5 + 4 + 32 + 320 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1296876 + ... + 1319915.

Almost surely, 230145432320 is an apocalyptic number.

30145432320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30145432320 is an abundant number, since it is smaller than the sum of its proper divisors (74154663216).

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

30145432320 is a wasteful number, since it uses less digits than its factorization.

30145432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616818 (or 2616801 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 30145432320 its reverse (2323454103), we get a palindrome (32468886423).

The spelling of 30145432320 in words is "thirty billion, one hundred forty-five million, four hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 2616791 5233582 7850373 10467164 13083955 15700746 20934328 23551119 26167910 31401492 39251865 41868656 47102238 52335820 62802984 78503730 83737312 94204476 104671640 117755595 125605968 157007460 167474624 188408952 209343280 235511190 251211936 314014920 334949248 376817904 418686560 471022380 502423872 628029840 669898496 753635808 837373120 942044760 1004847744 1256059680 1507271616 1674746240 1884089520 2009695488 2512119360 3014543232 3349492480 3768179040 5024238720 6029086464 7536358080 10048477440 15072716160 30145432320