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421140961980 = 2232541434393023
BaseRepresentation
bin1100010000011011111…
…01010001101010111100
31111021001001000111211200
412020031331101222330
523344444041240410
6521245224215500
742266160053454
oct6101575215274
91437031014750
10421140961980
11152672104002
126975330a590
13309375092bb
1416551c0ad64
15ae4c8dc3c0
hex620df51abc

421140961980 has 288 divisors, whose sum is σ = 1342545684480. Its totient is φ = 106738007040.

The previous prime is 421140961963. The next prime is 421140961981. The reversal of 421140961980 is 89169041124.

It is a happy number.

421140961980 is a `hidden beast` number, since 4 + 21 + 1 + 4 + 0 + 9 + 619 + 8 + 0 = 666.

421140961980 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421140961981) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139310749 + ... + 139313771.

It is an arithmetic number, because the mean of its divisors is an integer number (4661616960).

Almost surely, 2421140961980 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 421140961980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671272842240).

421140961980 is an abundant number, since it is smaller than the sum of its proper divisors (921404722500).

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

421140961980 is a wasteful number, since it uses less digits than its factorization.

421140961980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3561 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 421140961980 in words is "four hundred twenty-one billion, one hundred forty million, nine hundred sixty-one thousand, nine hundred eighty".