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34014401442 = 234724285009
BaseRepresentation
bin11111101011011010…
…101001001110100010
310020210112002121220000
4133223122221032202
51024130141321232
623343114400430
72312623433100
oct375332511642
9106715077800
1034014401442
111347527427a
126713430116
133290c89878
14190966ac70
15d4129627c
hex7eb6a93a2

34014401442 has 60 divisors (see below), whose sum is σ = 88661141910. Its totient is φ = 9718398144.

The previous prime is 34014401429. The next prime is 34014401497. The reversal of 34014401442 is 24410441043.

It can be written as a sum of positive squares in only one way, i.e., 23687980281 + 10326421161 = 153909^2 + 101619^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2134567 + ... + 2150442.

Almost surely, 234014401442 is an apocalyptic number.

34014401442 is an abundant number, since it is smaller than the sum of its proper divisors (54646740468).

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

34014401442 is a wasteful number, since it uses less digits than its factorization.

34014401442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4285037 (or 4285021 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 34014401442 its reverse (24410441043), we get a palindrome (58424842485).

The spelling of 34014401442 in words is "thirty-four billion, fourteen million, four hundred one thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 7938 4285009 8570018 12855027 25710054 29995063 38565081 59990126 77130162 89985189 115695243 179970378 209965441 231390486 269955567 347085729 419930882 539911134 629896323 694171458 809866701 1259792646 1619733402 1889688969 2429600103 3779377938 4859200206 5669066907 11338133814 17007200721 34014401442