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42245044054224 = 24311150775306729
BaseRepresentation
bin10011001101011111100001…
…10110000010100011010000
312112120120211202101120212120
421212233300312002203100
521014120322234213344
6225503034425454240
711620050400456044
oct1146576066024320
9175516752346776
1042245044054224
1112508028051750
1248a3457941380
131a758c921510b
14a609574a6024
154d3d558b0219
hex266bf0d828d0

42245044054224 has 80 divisors (see below), whose sum is σ = 119062133910720. Its totient is φ = 12800677012480.

The previous prime is 42245044054201. The next prime is 42245044054231.

42245044054224 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5307292 + ... + 10614020.

It is an arithmetic number, because the mean of its divisors is an integer number (1488276673884).

Almost surely, 242245044054224 is an apocalyptic number.

42245044054224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42245044054224 is an abundant number, since it is smaller than the sum of its proper divisors (76817089856496).

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

42245044054224 is a wasteful number, since it uses less digits than its factorization.

42245044054224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5321828 (or 5321822 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 42.

It can be divided in two parts, 4224504 and 4054224, that added together give a palindrome (8278728).

The spelling of 42245044054224 in words is "forty-two trillion, two hundred forty-five billion, forty-four million, fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 15077 30154 45231 60308 90462 120616 165847 180924 241232 331694 361848 497541 663388 723696 995082 1326776 1990164 2653552 3980328 5306729 7960656 10613458 15920187 21226916 31840374 42453832 58374019 63680748 84907664 116748038 127361496 175122057 233496076 254722992 350244114 466992152 700488228 933984304 1400976456 2801952912 80009553133 160019106266 240028659399 320038212532 480057318798 640076425064 880105084463 960114637596 1280152850128 1760210168926 1920229275192 2640315253389 3520420337852 3840458550384 5280630506778 7040840675704 10561261013556 14081681351408 21122522027112 42245044054224