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42144220334430 = 23253115105455317
BaseRepresentation
bin10011001010100011101110…
…10010000100100101011110
312112012221121011202221111100
421211101313102010211132
521010442330401200210
6225344442035333530
711606551032133104
oct1145216722044536
9175187534687440
1042144220334430
1112479299754795
1248879ba1512a6
131a6924bb69216
14a59b10ca3c74
154d14041b55c0
hex26547748495e

42144220334430 has 48 divisors (see below), whose sum is σ = 113109649421184. Its totient is φ = 10875927827520.

The previous prime is 42144220334387. The next prime is 42144220334431. The reversal of 42144220334430 is 3443302244124.

42144220334430 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 4 + 2 + 203 + 3 + 443 + 0 = 666.

It is a super-2 number, since 2×421442203344302 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42144220334431) 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, 7552724869 + ... + 7552730448.

It is an arithmetic number, because the mean of its divisors is an integer number (2356451029608).

Almost surely, 242144220334430 is an apocalyptic number.

42144220334430 is an abundant number, since it is smaller than the sum of its proper divisors (70965429086754).

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

42144220334430 is a wasteful number, since it uses less digits than its factorization.

42144220334430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15105455361 (or 15105455358 counting only the distinct ones).

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

Adding to 42144220334430 its reverse (3443302244124), we get a palindrome (45587522578554).

The spelling of 42144220334430 in words is "forty-two trillion, one hundred forty-four billion, two hundred twenty million, three hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 15105455317 30210910634 45316365951 75527276585 90632731902 135949097853 151054553170 226581829755 271898195706 453163659510 468269114827 679745489265 936538229654 1359490978530 1404807344481 2341345574135 2809614688962 4214422033443 4682691148270 7024036722405 8428844066886 14048073444810 21072110167215 42144220334430