Search a number
-
+
42403544530424 = 237112343251277301
BaseRepresentation
bin10011010010000110110000…
…01101010111110111111000
312120010201221221000000220222
421221003120031113313320
521024214424344433144
6230103530333035212
711634361235336540
oct1151033015276770
9176121857000828
1042403544530424
111256927347a440
12490a111325b08
131a878388c843c
14a684b1b9c320
154d80308992ee
hex2690d8357df8

42403544530424 has 256 divisors, whose sum is σ = 106262481346560. Its totient is φ = 15373512000000.

The previous prime is 42403544530393. The next prime is 42403544530429.

42403544530424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×424035445304242 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42403544530429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152776574 + ... + 153053874.

It is an arithmetic number, because the mean of its divisors is an integer number (415087817760).

Almost surely, 242403544530424 is an apocalyptic number.

42403544530424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42403544530424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53131240673280).

42403544530424 is an abundant number, since it is smaller than the sum of its proper divisors (63858936816136).

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

42403544530424 is a wasteful number, since it uses less digits than its factorization.

42403544530424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277642 (or 277638 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 44.

It can be divided in two parts, 4240354 and 4530424, that added together give a palindrome (8770778).

The spelling of 42403544530424 in words is "forty-two trillion, four hundred three billion, five hundred forty-four million, five hundred thirty thousand, four hundred twenty-four".