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4261242144 = 253311431869
BaseRepresentation
bin1111110111111101…
…0110010100100000
3101222222021112022010
43331333112110200
532211334222034
61542501112520
7210411650325
oct37577262440
911888245263
104261242144
1118973a6325
129ab0b8740
1352ba9c173
142c5d18b4c
1519e17a3e9
hexfdfd6520

4261242144 has 48 divisors (see below), whose sum is σ = 11546599680. Its totient is φ = 1374593280.

The previous prime is 4261242101. The next prime is 4261242163. The reversal of 4261242144 is 4412421624.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

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, 712959 + ... + 718910.

It is an arithmetic number, because the mean of its divisors is an integer number (240554160).

Almost surely, 24261242144 is an apocalyptic number.

It is an amenable number.

4261242144 is an abundant number, since it is smaller than the sum of its proper divisors (7285357536).

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

4261242144 is a wasteful number, since it uses less digits than its factorization.

4261242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431913 (or 1431905 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 4261242144 is about 65278.1904160953. The cubic root of 4261242144 is about 1621.2328855983.

Adding to 4261242144 its reverse (4412421624), we get a palindrome (8673663768).

The spelling of 4261242144 in words is "four billion, two hundred sixty-one million, two hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 1431869 2863738 4295607 5727476 8591214 11454952 17182428 22909904 34364856 44387939 45819808 68729712 88775878 133163817 137459424 177551756 266327634 355103512 532655268 710207024 1065310536 1420414048 2130621072 4261242144