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54143214430400 = 2652281120425299
BaseRepresentation
bin11000100111110001100110…
…00100000010100011000000
321002201001002201001211100222
430103320303010002203000
524044040300343233100
6311053014353402212
714255501220124604
oct1423706304024300
9232631081054328
1054143214430400
1116285010042a47
1260a5398b69368
1324298b6032504
14d5278d039504
1563d5c8b3a485
hex313e331028c0

54143214430400 has 84 divisors (see below), whose sum is σ = 133700262520200. Its totient is φ = 21580213401600.

The previous prime is 54143214430363. The next prime is 54143214430423. The reversal of 54143214430400 is 403441234145.

It is a happy 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 11 ways as a sum of consecutive naturals, for example, 59763050 + ... + 60662249.

Almost surely, 254143214430400 is an apocalyptic number.

54143214430400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54143214430400 is an abundant number, since it is smaller than the sum of its proper divisors (79557048089800).

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

54143214430400 is a wasteful number, since it uses less digits than its factorization.

54143214430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120425602 (or 120425587 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 54143214430400 its reverse (403441234145), we get a palindrome (54546655664545).

The spelling of 54143214430400 in words is "fifty-four trillion, one hundred forty-three billion, two hundred fourteen million, four hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 281 320 400 562 800 1124 1405 1600 2248 2810 4496 5620 7025 8992 11240 14050 17984 22480 28100 44960 56200 89920 112400 224800 449600 120425299 240850598 481701196 602126495 963402392 1204252990 1926804784 2408505980 3010632475 3853609568 4817011960 6021264950 7707219136 9634023920 12042529900 19268047840 24085059800 33839509019 38536095680 48170119600 67679018038 96340239200 135358036076 169197545095 192680478400 270716072152 338395090190 541432144304 676790180380 845987725475 1082864288608 1353580360760 1691975450950 2165728577216 2707160721520 3383950901900 5414321443040 6767901803800 10828642886080 13535803607600 27071607215200 54143214430400