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54142023200 = 2552181373909
BaseRepresentation
bin110010011011000111…
…011011011000100000
312011202020202202021112
4302123013123120200
51341340324220300
640512243242452
73624455414066
oct623307333040
9164666682245
1054142023200
1120a63840421
12a5b0079428
13514ac29625
142898894036
15161d320e35
hexc9b1db620

54142023200 has 72 divisors (see below), whose sum is σ = 132904813860. Its totient is φ = 21537100800.

The previous prime is 54142023119. The next prime is 54142023263. The reversal of 54142023200 is 232024145.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8238103696 + 45903919504 = 90764^2 + 214252^2 .

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 11 ways as a sum of consecutive naturals, for example, 42155 + ... + 331754.

Almost surely, 254142023200 is an apocalyptic number.

54142023200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54142023200 is an abundant number, since it is smaller than the sum of its proper divisors (78762790660).

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

54142023200 is a wasteful number, since it uses less digits than its factorization.

54142023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374110 (or 374097 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 54142023200 its reverse (232024145), we get a palindrome (54374047345).

The spelling of 54142023200 in words is "fifty-four billion, one hundred forty-two million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 181 200 362 400 724 800 905 1448 1810 2896 3620 4525 5792 7240 9050 14480 18100 28960 36200 72400 144800 373909 747818 1495636 1869545 2991272 3739090 5982544 7478180 9347725 11965088 14956360 18695450 29912720 37390900 59825440 67677529 74781800 135355058 149563600 270710116 299127200 338387645 541420232 676775290 1082840464 1353550580 1691938225 2165680928 2707101160 3383876450 5414202320 6767752900 10828404640 13535505800 27071011600 54142023200