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42457621221444 = 223111324742203509
BaseRepresentation
bin10011010011101011011110…
…11011100101000001000100
312120022220112121211120022010
421221311233123211001010
521031111202013041234
6230144432324134220
711641314301541052
oct1151655733450104
9176286477746263
1042457621221444
111258a1a3347820
1249186a3537370
131a8c97612ba70
14a6ad61ac71d2
154d96480b26e9
hex269d6f6e5044

42457621221444 has 48 divisors (see below), whose sum is σ = 116387325311040. Its totient is φ = 11876257683840.

The previous prime is 42457621221437. The next prime is 42457621221479. The reversal of 42457621221444 is 44412212675424.

It is a happy number.

42457621221444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×424576212214442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42457621221393 and 42457621221402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12371100039 + ... + 12371103470.

It is an arithmetic number, because the mean of its divisors is an integer number (2424735943980).

Almost surely, 242457621221444 is an apocalyptic number.

42457621221444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42457621221444 is an abundant number, since it is smaller than the sum of its proper divisors (73929704089596).

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

42457621221444 is a wasteful number, since it uses less digits than its factorization.

42457621221444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24742203540 (or 24742203538 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 48.

Adding to 42457621221444 its reverse (44412212675424), we get a palindrome (86869833896868).

The spelling of 42457621221444 in words is "forty-two trillion, four hundred fifty-seven billion, six hundred twenty-one million, two hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 24742203509 49484407018 74226610527 98968814036 148453221054 272164238599 296906442108 321648645617 544328477198 643297291234 816492715797 964945936851 1088656954396 1286594582468 1632985431594 1929891873702 3265970863188 3538135101787 3859783747404 7076270203574 10614405305361 14152540407148 21228810610722 42457621221444