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4022000002242 = 2331730714271217
BaseRepresentation
bin111010100001110001111…
…000011010010011000010
3112020111111002120121111000
4322201301320122103002
51011344024000032432
612315403054232430
7563402623641255
oct72416170322302
915214432517430
104022000002242
1113107a2169a02
1254b5a77b5716
1323237194b741
14dc9470c109c
156e94c5d957c
hex3a871e1a4c2

4022000002242 has 64 divisors (see below), whose sum is σ = 9494355911040. Its totient is φ = 1257693723648.

The previous prime is 4022000002219. The next prime is 4022000002247. The reversal of 4022000002242 is 2422000002204.

4022000002242 is a `hidden beast` number, since 402 + 20 + 0 + 0 + 0 + 0 + 2 + 242 = 666.

It is a super-3 number, since 3×40220000022423 (a number of 39 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4022000002247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6853783 + ... + 7417434.

It is an arithmetic number, because the mean of its divisors is an integer number (148349311110).

Almost surely, 24022000002242 is an apocalyptic number.

4022000002242 is an abundant number, since it is smaller than the sum of its proper divisors (5472355908798).

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

4022000002242 is a wasteful number, since it uses less digits than its factorization.

4022000002242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14271552 (or 14271546 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 4022000002242 its reverse (2422000002204), we get a palindrome (6444000004446).

The spelling of 4022000002242 in words is "four trillion, twenty-two billion, two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 307 459 614 918 921 1842 2763 5219 5526 8289 10438 15657 16578 31314 46971 93942 140913 281826 14271217 28542434 42813651 85627302 128440953 242610689 256881906 385322859 485221378 727832067 770645718 1455664134 2183496201 4366992402 4381263619 6550488603 8762527238 13100977206 13143790857 26287581714 39431372571 74481481523 78862745142 118294117713 148962963046 223444444569 236588235426 446888889138 670333333707 1340666667414 2011000001121 4022000002242