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54201743120640 = 283514115037271
BaseRepresentation
bin11000101001011110100111…
…01001010001100100000000
321002220122011200010100120010
430110233103221101210000
524101020132214330030
6311135534222344520
714262642502566513
oct1424572351214400
9232818150110503
1054201743120640
11162a7914a56225
1260b47b212b140
132432282a041bb
14d55542336d7a
1563eda210e6b0
hex314bd3a51900

54201743120640 has 72 divisors (see below), whose sum is σ = 173106817103808. Its totient is φ = 14453798164480.

The previous prime is 54201743120639. The next prime is 54201743120677. The reversal of 54201743120640 is 4602134710245.

It is a super-3 number, since 3×542017431206403 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7057514796 + ... + 7057522475.

It is an arithmetic number, because the mean of its divisors is an integer number (2404261348664).

Almost surely, 254201743120640 is an apocalyptic number.

It is an amenable number.

54201743120640 is an abundant number, since it is smaller than the sum of its proper divisors (118905073983168).

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

54201743120640 is a wasteful number, since it uses less digits than its factorization.

54201743120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14115037295 (or 14115037281 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

Adding to 54201743120640 its reverse (4602134710245), we get a palindrome (58803877830885).

The spelling of 54201743120640 in words is "fifty-four trillion, two hundred one billion, seven hundred forty-three million, one hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 14115037271 28230074542 42345111813 56460149084 70575186355 84690223626 112920298168 141150372710 169380447252 211725559065 225840596336 282300745420 338760894504 423451118130 451681192672 564601490840 677521789008 846902236260 903362385344 1129202981680 1355043578016 1693804472520 1806724770688 2258405963360 2710087156032 3387608945040 3613449541376 4516811926720 5420174312064 6775217890080 9033623853440 10840348624128 13550435780160 18067247706880 27100871560320 54201743120640