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4020075144 = 233318611459
BaseRepresentation
bin1110111110011101…
…0111101010001000
3101101011110222101000
43233213113222020
531213114401034
61502524055000
7201423034461
oct35747275210
911334428330
104020075144
111783255a58
12942394460
134c0b300b7
142a1c9bd68
15187ddd599
hexef9d7a88

4020075144 has 32 divisors (see below), whose sum is σ = 11166876000. Its totient is φ = 1340024976.

The previous prime is 4020075127. The next prime is 4020075151. The reversal of 4020075144 is 4415700204.

It is a super-2 number, since 2×40200751442 = 32322008326813241472, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9305514 + ... + 9305945.

It is an arithmetic number, because the mean of its divisors is an integer number (348964875).

Almost surely, 24020075144 is an apocalyptic number.

It is an amenable number.

4020075144 is an abundant number, since it is smaller than the sum of its proper divisors (7146800856).

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

4020075144 is a wasteful number, since it uses less digits than its factorization.

4020075144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18611474 (or 18611464 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 4020075144 is about 63404.0625196840. The cubic root of 4020075144 is about 1590.0522303953.

Adding to 4020075144 its reverse (4415700204), we get a palindrome (8435775348).

The spelling of 4020075144 in words is "four billion, twenty million, seventy-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 18611459 37222918 55834377 74445836 111668754 148891672 167503131 223337508 335006262 446675016 502509393 670012524 1005018786 1340025048 2010037572 4020075144