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42024000442424 = 23711135247752303
BaseRepresentation
bin10011000111000011110011…
…00111100101000000111000
312111210110021211211122212112
421203201321213211000320
521002010123103124144
6225213320450031452
711565063622664120
oct1143417147450070
9174713254748775
1042024000442424
1112432307760540
124868648878588
131a5ab00251650
14a53d8867bc80
154cd219c7699e
hex2638799e5038

42024000442424 has 64 divisors (see below), whose sum is σ = 105794686448640. Its totient is φ = 15113526629760.

The previous prime is 42024000442421. The next prime is 42024000442429. The reversal of 42024000442424 is 42424400042024.

It is a super-2 number, since 2×420240004424242 (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 (42024000442421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2623868144 + ... + 2623884159.

It is an arithmetic number, because the mean of its divisors is an integer number (1653041975760).

Almost surely, 242024000442424 is an apocalyptic number.

42024000442424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42024000442424 is an abundant number, since it is smaller than the sum of its proper divisors (63770686006216).

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

42024000442424 is a wasteful number, since it uses less digits than its factorization.

42024000442424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5247752340 (or 5247752336 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 42024000442424 its reverse (42424400042024), we get a palindrome (84448400484448).

It can be divided in two parts, 42024000 and 442424, that added together give a palindrome (42466424).

The spelling of 42024000442424 in words is "forty-two trillion, twenty-four billion, four hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 5247752303 10495504606 20991009212 36734266121 41982018424 57725275333 68220779939 73468532242 115450550666 136441559878 146937064484 230901101332 272883119756 293874128968 404076927331 461802202664 477545459573 545766239512 750428579329 808153854662 955090919146 1500857158658 1616307709324 1910181838292 3001714317316 3232615418648 3820363676584 5253000055303 6003428634632 10506000110606 21012000221212 42024000442424