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30421532400 = 2435272517373
BaseRepresentation
bin11100010101010000…
…111011111011110000
32220112010110222010020
4130111100323323300
5444300403014100
621550411003440
72124605521200
oct342520737360
986463428106
1030421532400
11119a1186616
125a90139580
132b3a80545c
141688416400
15bd0b425a0
hex71543bef0

30421532400 has 180 divisors, whose sum is σ = 113360782392. Its totient is φ = 6953479680.

The previous prime is 30421532359. The next prime is 30421532437. The reversal of 30421532400 is 423512403.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 35 ways as a sum of consecutive naturals, for example, 199887 + ... + 317486.

Almost surely, 230421532400 is an apocalyptic number.

30421532400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30421532400 is an abundant number, since it is smaller than the sum of its proper divisors (82939249992).

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

30421532400 is a wasteful number, since it uses less digits than its factorization.

30421532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517408 (or 517390 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The spelling of 30421532400 in words is "thirty billion, four hundred twenty-one million, five hundred thirty-two thousand, four hundred".