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4022012401002 = 232536616378133
BaseRepresentation
bin111010100001110010100…
…111101101010101101010
3112020111111221220112101100
4322201302213231111222
51011344040133313002
612315404220102230
7563403134221251
oct72416247552552
915214457815340
104022012401002
1113107a9168312
1254b5ab994976
132323743a009b
14dc9489cb798
156e94d73811c
hex3a8729ed56a

4022012401002 has 48 divisors (see below), whose sum is σ = 8892215835048. Its totient is φ = 1313384941440.

The previous prime is 4022012400979. The next prime is 4022012401087. The reversal of 4022012401002 is 2001042102204.

4022012401002 is a `hidden beast` number, since 40 + 220 + 1 + 2 + 401 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3112256977281 + 909755423721 = 1764159^2 + 953811^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2558473 + ... + 3819660.

Almost surely, 24022012401002 is an apocalyptic number.

4022012401002 is an abundant number, since it is smaller than the sum of its proper divisors (4870203434046).

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

4022012401002 is a wasteful number, since it uses less digits than its factorization.

4022012401002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6378855 (or 6378852 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 4022012401002 its reverse (2001042102204), we get a palindrome (6023054503206).

The spelling of 4022012401002 in words is "four trillion, twenty-two billion, twelve million, four hundred one thousand, two".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 661 954 1322 1983 3966 5949 11898 35033 70066 105099 210198 315297 630594 6378133 12756266 19134399 38268798 57403197 114806394 338041049 676082098 1014123147 2028246294 3042369441 4215945913 6084738882 8431891826 12647837739 25295675478 37943513217 75887026434 223445133389 446890266778 670335400167 1340670800334 2011006200501 4022012401002