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40221890000 = 24544022189
BaseRepresentation
bin100101011101011010…
…010101010111010000
310211211010120201100122
4211131122111113100
51124333300440000
630251102405412
72622510265265
oct453532252720
9124733521318
1040221890000
1116070232306
127966290868
133a40032316
141d37c4b26c
1510a6217085
hex95d6955d0

40221890000 has 50 divisors (see below), whose sum is σ = 97381242090. Its totient is φ = 16088752000.

The previous prime is 40221889997. The next prime is 40221890011. The reversal of 40221890000 is 9812204.

40221890000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 15501246016 + 24720643984 = 124504^2 + 157228^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-3 number, since 3×402218900003 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2001095 + ... + 2021094.

Almost surely, 240221890000 is an apocalyptic number.

40221890000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40221890000 is an abundant number, since it is smaller than the sum of its proper divisors (57159352090).

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

40221890000 is an equidigital number, since it uses as much as digits as its factorization.

40221890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022217 (or 4022196 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 40221890000 in words is "forty billion, two hundred twenty-one million, eight hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 4022189 8044378 16088756 20110945 32177512 40221890 64355024 80443780 100554725 160887560 201109450 321775120 402218900 502773625 804437800 1005547250 1608875600 2011094500 2513868125 4022189000 5027736250 8044378000 10055472500 20110945000 40221890000