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242550433104 = 24371913377353
BaseRepresentation
bin1110000111100100100…
…0011110010101010000
3212012001202102122111020
43201321020132111100
512433220402324404
6303232013315440
723344424443560
oct3417110362520
9765052378436
10242550433104
119395743a3a1
123b011795b80
1319b458ab445
14ba4d2aada0
156498ce9ed9
hex387921e550

242550433104 has 80 divisors (see below), whose sum is σ = 716477511552. Its totient is φ = 69263714304.

The previous prime is 242550433063. The next prime is 242550433141. The reversal of 242550433104 is 401334055242.

It is a super-3 number, since 3×2425504331043 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454092 + ... + 831444.

Almost surely, 2242550433104 is an apocalyptic number.

242550433104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242550433104 is an abundant number, since it is smaller than the sum of its proper divisors (473927078448).

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

242550433104 is a wasteful number, since it uses less digits than its factorization.

242550433104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379284 (or 379278 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 242550433104 its reverse (401334055242), we get a palindrome (643884488346).

The spelling of 242550433104 in words is "two hundred forty-two billion, five hundred fifty million, four hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1913 3826 5739 7652 11478 13391 15304 22956 26782 30608 40173 45912 53564 80346 91824 107128 160692 214256 321384 377353 642768 754706 1132059 1509412 2264118 2641471 3018824 4528236 5282942 6037648 7924413 9056472 10565884 15848826 18112944 21131768 31697652 42263536 63395304 126790608 721876289 1443752578 2165628867 2887505156 4331257734 5053134023 5775010312 8662515468 10106268046 11550020624 15159402069 17325030936 20212536092 30318804138 34650061872 40425072184 60637608276 80850144368 121275216552 242550433104