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4140187568 = 241185727449
BaseRepresentation
bin1111011011000110…
…0011111110110000
3101200112111022122022
43312301203332300
531434342000233
61522454331012
7204412004456
oct36661437660
911615438568
104140187568
111835034220
12976659a68
1350c99623a
142b3c069d6
15193717398
hexf6c63fb0

4140187568 has 40 divisors (see below), whose sum is σ = 8761381200. Its totient is φ = 1879639040.

The previous prime is 4140187567. The next prime is 4140187573. The reversal of 4140187568 is 8657810414.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (4140187561) by changing a digit.

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, 137108 + ... + 164556.

It is an arithmetic number, because the mean of its divisors is an integer number (219034530).

Almost surely, 24140187568 is an apocalyptic number.

It is an amenable number.

4140187568 is an abundant number, since it is smaller than the sum of its proper divisors (4621193632).

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

4140187568 is a wasteful number, since it uses less digits than its factorization.

4140187568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28325 (or 28319 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The square root of 4140187568 is about 64344.2893192551. The cubic root of 4140187568 is about 1605.7330228289.

The spelling of 4140187568 in words is "four billion, one hundred forty million, one hundred eighty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 857 1714 3428 6856 9427 13712 18854 27449 37708 54898 75416 109796 150832 219592 301939 439184 603878 1207756 2415512 4831024 23523793 47047586 94095172 188190344 258761723 376380688 517523446 1035046892 2070093784 4140187568