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420142042314 = 2352337586513
BaseRepresentation
bin1100001110100100110…
…10101100110011001010
31111011110102101010200000
412013102122230303022
523340422330323224
6521002142023430
742232340302311
oct6072232546312
91434412333600
10420142042314
111521aa258965
1269514877b76
1330808589a87
14164992a1278
15added710c9
hex61d26accca

420142042314 has 48 divisors (see below), whose sum is σ = 985067358912. Its totient is φ = 133958328768.

The previous prime is 420142042303. The next prime is 420142042351. The reversal of 420142042314 is 413240241024.

420142042314 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 420 + 4 + 231 + 4 = 666.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18782079 + ... + 18804434.

It is an arithmetic number, because the mean of its divisors is an integer number (20522236644).

Almost surely, 2420142042314 is an apocalyptic number.

420142042314 is an abundant number, since it is smaller than the sum of its proper divisors (564925316598).

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

420142042314 is a wasteful number, since it uses less digits than its factorization.

420142042314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37586553 (or 37586541 counting only the distinct ones).

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

Adding to 420142042314 its reverse (413240241024), we get a palindrome (833382283338).

The spelling of 420142042314 in words is "four hundred twenty billion, one hundred forty-two million, forty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 414 486 621 1242 1863 3726 5589 11178 37586513 75173026 112759539 225519078 338278617 676557234 864489799 1014835851 1728979598 2029671702 2593469397 3044507553 5186938794 6089015106 7780408191 9133522659 15560816382 18267045318 23341224573 46682449146 70023673719 140047347438 210071021157 420142042314