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35122244040 = 233251319394987
BaseRepresentation
bin100000101101011100…
…101110100111001000
310100122201200212020100
4200231130232213020
51033412243302130
624045051325400
72352235101642
oct405534564710
9110581625210
1035122244040
1113993655874
126982450860
133409655130
1419b284b892
15da867ac60
hex82d72e9c8

35122244040 has 192 divisors, whose sum is σ = 129398068800. Its totient is φ = 8190429696.

The previous prime is 35122244033. The next prime is 35122244041. The reversal of 35122244040 is 4044222153.

35122244040 is a `hidden beast` number, since 35 + 1 + 2 + 224 + 404 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 35122243995 and 35122244013.

It is not an unprimeable number, because it can be changed into a prime (35122244041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108574 + ... + 286413.

It is an arithmetic number, because the mean of its divisors is an integer number (673948275).

Almost surely, 235122244040 is an apocalyptic number.

35122244040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35122244040 is an abundant number, since it is smaller than the sum of its proper divisors (94275824760).

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

35122244040 is a wasteful number, since it uses less digits than its factorization.

35122244040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395036 (or 395029 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 35122244040 its reverse (4044222153), we get a palindrome (39166466193).

The spelling of 35122244040 in words is "thirty-five billion, one hundred twenty-two million, two hundred forty-four thousand, forty".