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42014440233342 = 23223483121006863
BaseRepresentation
bin10011000110110001111111…
…10010010001100101111110
312111202112121120121201110200
421203120333302101211332
521001331033144431332
6225205100053344330
711564304665361333
oct1143307762214576
9174675546551420
1042014440233342
11124292512199a5
12486681b0380a6
131a59c386c80b5
14a5371caba98a
154ccd5a7dc17c
hex26363fc9197e

42014440233342 has 48 divisors (see below), whose sum is σ = 95008836169728. Its totient is φ = 13393134936720.

The previous prime is 42014440233341. The next prime is 42014440233427. The reversal of 42014440233342 is 24333204441024.

42014440233342 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 44 + 40 + 233 + 342 = 666.

It is a super-3 number, since 3×420144402333423 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42014440233297 and 42014440233306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42014440233341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8503398 + ... + 12503465.

It is an arithmetic number, because the mean of its divisors is an integer number (1979350753536).

Almost surely, 242014440233342 is an apocalyptic number.

42014440233342 is an abundant number, since it is smaller than the sum of its proper divisors (52994395936386).

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

42014440233342 is a wasteful number, since it uses less digits than its factorization.

42014440233342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21011725 (or 21011722 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 42014440233342 its reverse (24333204441024), we get a palindrome (66347644674366).

The spelling of 42014440233342 in words is "forty-two trillion, fourteen billion, four hundred forty million, two hundred thirty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 4831 9662 14493 28986 43479 86958 111113 222226 333339 666678 1000017 2000034 21006863 42013726 63020589 126041178 189061767 378123534 483157849 966315698 1449473547 2898947094 4348420641 8696841282 101484155153 202968310306 304452465459 608904930918 913357396377 1826714792754 2334135568519 4668271137038 7002406705557 14004813411114 21007220116671 42014440233342