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422065511140 = 225721326141777
BaseRepresentation
bin1100010010001010001…
…00001001101011100100
31111100102110201110212011
412021011010021223210
523403342232324030
6521521052404004
742331114436200
oct6110504115344
91440373643764
10422065511140
11152aa6a83519
1269970a76604
1330a53c19900
14165dc917b00
15aea3b67b2a
hex6245109ae4

422065511140 has 216 divisors, whose sum is σ = 1134787572072. Its totient is φ = 131383848960.

The previous prime is 422065511137. The next prime is 422065511191. The reversal of 422065511140 is 41115560224.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 370608218176 + 51457292964 = 608776^2 + 226842^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10081932 + ... + 10123708.

It is an arithmetic number, because the mean of its divisors is an integer number (5253646167).

Almost surely, 2422065511140 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 422065511140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567393786036).

422065511140 is an abundant number, since it is smaller than the sum of its proper divisors (712722060932).

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

422065511140 is a wasteful number, since it uses less digits than its factorization.

422065511140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41887 (or 41865 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 422065511140 in words is "four hundred twenty-two billion, sixty-five million, five hundred eleven thousand, one hundred forty".