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421154200440 = 233353497691453
BaseRepresentation
bin1100010000011101011…
…11110001101101111000
31111021001221221002121000
412020032233301231320
523400010433403230
6521250420045000
742266410431531
oct6101657615570
91437057832530
10421154200440
11152679626286
1269757833760
133093a192bcc
1416553895688
15ae4db54b60
hex620ebf1b78

421154200440 has 256 divisors, whose sum is σ = 1410670800000. Its totient is φ = 111763390464.

The previous prime is 421154200427. The next prime is 421154200451. The reversal of 421154200440 is 44002451124.

421154200440 is a `hidden beast` number, since 4 + 2 + 1 + 15 + 4 + 200 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 289850754 + ... + 289852206.

Almost surely, 2421154200440 is an apocalyptic number.

421154200440 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 421154200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705335400000).

421154200440 is an abundant number, since it is smaller than the sum of its proper divisors (989516599560).

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

421154200440 is a wasteful number, since it uses less digits than its factorization.

421154200440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 421154200440 its reverse (44002451124), we get a palindrome (465156651564).

The spelling of 421154200440 in words is "four hundred twenty-one billion, one hundred fifty-four million, two hundred thousand, four hundred forty".