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420302301024 = 25323672841109
BaseRepresentation
bin1100001110110111111…
…10000010011101100000
31111011212120221010021210
412013123332002131200
523341234342113044
6521030104550120
742236324420004
oct6073376023540
91434776833253
10420302301024
11152281767681
126955a482340
133083283b208
14164b269a704
15adede7a1b9
hex61dbf82760

420302301024 has 96 divisors (see below), whose sum is σ = 1168446263040. Its totient is φ = 132009242112.

The previous prime is 420302300993. The next prime is 420302301053. The reversal of 420302301024 is 420103203024.

420302301024 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4203023010242 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1272619 + ... + 1568490.

It is an arithmetic number, because the mean of its divisors is an integer number (12171315240).

Almost surely, 2420302301024 is an apocalyptic number.

It is an amenable number.

420302301024 is an abundant number, since it is smaller than the sum of its proper divisors (748143962016).

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

420302301024 is a wasteful number, since it uses less digits than its factorization.

420302301024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841212 (or 2841204 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 420302301024 its reverse (420103203024), we get a palindrome (840405504048).

The spelling of 420302301024 in words is "four hundred twenty billion, three hundred two million, three hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 67 69 92 96 134 138 184 201 268 276 368 402 536 552 736 804 1072 1104 1541 1608 2144 2208 3082 3216 4623 6164 6432 9246 12328 18492 24656 36984 49312 73968 147936 2841109 5682218 8523327 11364436 17046654 22728872 34093308 45457744 65345507 68186616 90915488 130691014 136373232 190354303 196036521 261382028 272746464 380708606 392073042 522764056 571062909 761417212 784146084 1045528112 1142125818 1522834424 1568292168 2091056224 2284251636 3045668848 3136584336 4378148969 4568503272 6091337696 6273168672 8756297938 9137006544 13134446907 17512595876 18274013088 26268893814 35025191752 52537787628 70050383504 105075575256 140100767008 210151150512 420302301024