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4202042402024 = 233133764378193
BaseRepresentation
bin111101001001011101001…
…111101010010011101000
3112212201012120010011021222
4331021131033222103220
51022321240323331044
612534220331521212
7612405346043015
oct75113517522350
915781176104258
104202042402024
111380092430725
1257a4735b9208
132463352b9bcc
1410754679670c
15744888ba8ee
hex3d25d3ea4e8

4202042402024 has 64 divisors (see below), whose sum is σ = 8169909296640. Its totient is φ = 2024034324480.

The previous prime is 4202042401943. The next prime is 4202042402029.

4202042402024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4202042401984 and 4202042402002.

It is not an unprimeable number, because it can be changed into a prime (4202042402029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53700272 + ... + 53778464.

It is an arithmetic number, because the mean of its divisors is an integer number (127654832760).

Almost surely, 24202042402024 is an apocalyptic number.

It is an amenable number.

4202042402024 is a deficient number, since it is larger than the sum of its proper divisors (3967866894616).

4202042402024 is a wasteful number, since it uses less digits than its factorization.

4202042402024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79210 (or 79206 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

The spelling of 4202042402024 in words is "four trillion, two hundred two billion, forty-two million, four hundred two thousand, twenty-four".

Divisors: 1 2 4 8 31 62 124 248 337 643 674 1286 1348 2572 2696 5144 10447 19933 20894 39866 41788 78193 79732 83576 156386 159464 216691 312772 433382 625544 866764 1733528 2423983 4847966 6717421 9695932 13434842 19391864 26351041 26869684 50278099 52702082 53739368 100556198 105404164 201112396 210808328 402224792 816882271 1558621069 1633764542 3117242138 3267529084 6234484276 6535058168 12468968552 16943719363 33887438726 67774877452 135549754904 525255300253 1050510600506 2101021201012 4202042402024