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54001234300 = 225213312275903
BaseRepresentation
bin110010010010101110…
…010111000101111100
312011101102211221012211
4302102232113011330
51341043303444200
640450253510204
73621125626606
oct622256270574
9164342757184
1054001234300
11209a131a662
12a570aa2364
135127a041a0
142883cc6176
151610cb0aba
hexc92b9717c

54001234300 has 144 divisors (see below), whose sum is σ = 130863624192. Its totient is φ = 19207468800.

The previous prime is 54001234279. The next prime is 54001234333. The reversal of 54001234300 is 343210045.

It is a super-2 number, since 2×540012343002 (a number of 22 digits) contains 22 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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9145149 + ... + 9151051.

It is an arithmetic number, because the mean of its divisors is an integer number (908775168).

Almost surely, 254001234300 is an apocalyptic number.

54001234300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54001234300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65431812096).

54001234300 is an abundant number, since it is smaller than the sum of its proper divisors (76862389892).

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

54001234300 is a wasteful number, since it uses less digits than its factorization.

54001234300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6188 (or 6181 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 54001234300 its reverse (343210045), we get a palindrome (54344444345).

The spelling of 54001234300 in words is "fifty-four billion, one million, two hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 100 124 130 155 227 260 310 325 403 454 620 650 775 806 908 1135 1300 1550 1612 2015 2270 2951 3100 4030 4540 5675 5902 5903 7037 8060 10075 11350 11804 11806 14074 14755 20150 22700 23612 28148 29510 29515 35185 40300 59020 59030 70370 73775 76739 91481 118060 140740 147550 147575 153478 175925 182962 182993 295100 295150 306956 351850 365924 365986 383695 457405 590300 703700 731972 767390 914810 914965 1339981 1534780 1829620 1829930 1918475 2287025 2378909 2679962 3659860 3836950 4574050 4574825 4757818 5359924 6699905 7673900 9148100 9149650 9515636 11894545 13399810 17419753 18299300 23789090 26799620 33499525 34839506 41539411 47578180 59472725 66999050 69679012 83078822 87098765 118945450 133998100 166157644 174197530 207697055 237890900 348395060 415394110 435493825 540012343 830788220 870987650 1038485275 1080024686 1741975300 2076970550 2160049372 2700061715 4153941100 5400123430 10800246860 13500308575 27000617150 54001234300