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4072407144 = 2331313052587
BaseRepresentation
bin1111001010111100…
…0000000001101000
3101111210221201101020
43302233000001220
531320014012034
61512033452440
7202626614061
oct36257000150
911453851336
104072407144
1117aa849843
12957a11120
134cb923a90
142a8c01568
1518c7c9249
hexf2bc0068

4072407144 has 32 divisors (see below), whose sum is σ = 10964173920. Its totient is φ = 1253048256.

The previous prime is 4072407133. The next prime is 4072407191. The reversal of 4072407144 is 4417042704.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6525982 + ... + 6526605.

It is an arithmetic number, because the mean of its divisors is an integer number (342630435).

Almost surely, 24072407144 is an apocalyptic number.

It is an amenable number.

4072407144 is an abundant number, since it is smaller than the sum of its proper divisors (6891766776).

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

4072407144 is a wasteful number, since it uses less digits than its factorization.

4072407144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13052609 (or 13052605 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 33.

The square root of 4072407144 is about 63815.4146268752. The cubic root of 4072407144 is about 1596.9220964068.

Adding to 4072407144 its reverse (4417042704), we get a palindrome (8489449848).

The spelling of 4072407144 in words is "four billion, seventy-two million, four hundred seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 13052587 26105174 39157761 52210348 78315522 104420696 156631044 169683631 313262088 339367262 509050893 678734524 1018101786 1357469048 2036203572 4072407144