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42040244024440 = 2357432650153377
BaseRepresentation
bin10011000111100010000011…
…10011111011010001111000
312111212000012220000010101021
421203301001303323101320
521002241404432240230
6225225004350232224
711566210303106104
oct1143610163732170
9174760186003337
1042040244024440
1112439192846092
12486b8207b5674
131a5c4bb610c3c
14a54a89ad8904
154cd86ad34c7a
hex263c41cfb478

42040244024440 has 64 divisors (see below), whose sum is σ = 94723206701760. Its totient is φ = 16792516608000.

The previous prime is 42040244024431. The next prime is 42040244024473. The reversal of 42040244024440 is 4442044204024.

42040244024440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42040244024396 and 42040244024405.

It is a congruent number.

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, 787583032 + ... + 787636408.

It is an arithmetic number, because the mean of its divisors is an integer number (1480050104715).

Almost surely, 242040244024440 is an apocalyptic number.

42040244024440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42040244024440 is an abundant number, since it is smaller than the sum of its proper divisors (52682962677320).

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

42040244024440 is a wasteful number, since it uses less digits than its factorization.

42040244024440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80632 (or 80628 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 34.

Adding to 42040244024440 its reverse (4442044204024), we get a palindrome (46482288228464).

The spelling of 42040244024440 in words is "forty-two trillion, forty billion, two hundred forty-four million, twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 743 1486 2972 3715 5944 7430 14860 26501 29720 53002 53377 106004 106754 132505 212008 213508 265010 266885 427016 530020 533770 1060040 1067540 2135080 19690243 39380486 39659111 78760972 79318222 98451215 157521944 158636444 196902430 198295555 317272888 393804860 396591110 787609720 793182220 1414543877 1586364440 2829087754 5658175508 7072719385 11316351016 14145438770 28290877540 56581755080 1051006100611 2102012201222 4204024402444 5255030503055 8408048804888 10510061006110 21020122012220 42040244024440