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421894403280 = 24365717313753
BaseRepresentation
bin1100010001110101101…
…11011011010011010000
31111022222112202022000000
412020322313123103100
523403014431401110
6521452101130000
742323636154360
oct6107267332320
91438875668000
10421894403280
11152a19434669
12699236b9900
1330a2763a25c
14165c3cd69a0
15ae93b191c0
hex623addb4d0

421894403280 has 2240 divisors, whose sum is σ = 1922307821568. Its totient is φ = 83846430720.

The previous prime is 421894403269. The next prime is 421894403291. The reversal of 421894403280 is 82304498124.

421894403280 is a `hidden beast` number, since 4 + 2 + 189 + 440 + 3 + 28 + 0 = 666.

421894403280 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (421894403269) and next prime (421894403291).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 7960271734 + ... + 7960271786.

Almost surely, 2421894403280 is an apocalyptic number.

421894403280 is a gapful number since it is divisible by the number (40) 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 421894403280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961153910784).

421894403280 is an abundant number, since it is smaller than the sum of its proper divisors (1500413418288).

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

421894403280 is a wasteful number, since it uses less digits than its factorization.

421894403280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 421894403280 in words is "four hundred twenty-one billion, eight hundred ninety-four million, four hundred three thousand, two hundred eighty".