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4024012004144 = 241161374814829
BaseRepresentation
bin111010100011101001110…
…011100101101100110000
3112020200200022111220012222
4322203221303211230300
51011412134033113034
612320334450340212
7563503524451106
oct72435163455460
915220608456188
104024012004144
1113116349637a0
1254ba6958a668
13232602738902
14dca983c1c76
156ea1906d12e
hex3a8e9ce5b30

4024012004144 has 40 divisors (see below), whose sum is σ = 8644729239120. Its totient is φ = 1799111174400.

The previous prime is 4024012004119. The next prime is 4024012004147. The reversal of 4024012004144 is 4414002104204.

It is a super-2 number, since 2×40240120041442 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4024012004147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187396679 + ... + 187418150.

It is an arithmetic number, because the mean of its divisors is an integer number (216118230978).

Almost surely, 24024012004144 is an apocalyptic number.

4024012004144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4024012004144 is an abundant number, since it is smaller than the sum of its proper divisors (4620717234976).

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

4024012004144 is a wasteful number, since it uses less digits than its factorization.

4024012004144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374814909 (or 374814903 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 4024012004144 its reverse (4414002104204), we get a palindrome (8438014108348).

The spelling of 4024012004144 in words is "four trillion, twenty-four billion, twelve million, four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 61 88 122 176 244 488 671 976 1342 2684 5368 10736 374814829 749629658 1499259316 2998518632 4122963119 5997037264 8245926238 16491852476 22863704569 32983704952 45727409138 65967409904 91454818276 182909636552 251500750259 365819273104 503001500518 1006003001036 2012006002072 4024012004144