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54531231344000 = 27534677298077
BaseRepresentation
bin11000110011000100010101…
…01011000110010110000000
321011002010122021100100002222
430121202022223012112000
524121414430211002000
6311551145110430212
714325515514354635
oct1431421253062600
9234063567310088
1054531231344000
1116414624516154
126148627062368
132457371b7b688
14d6747b94418c
15648738504a85
hex31988aac6580

54531231344000 has 128 divisors (see below), whose sum is σ = 135868610049120. Its totient is φ = 21765781862400.

The previous prime is 54531231343951. The next prime is 54531231344027. The reversal of 54531231344000 is 44313213545.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3822962 + ... + 11121038.

Almost surely, 254531231344000 is an apocalyptic number.

54531231344000 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 54531231344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67934305024560).

54531231344000 is an abundant number, since it is smaller than the sum of its proper divisors (81337378705120).

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

54531231344000 is an equidigital number, since it uses as much as digits as its factorization.

54531231344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7298573 (or 7298551 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 54531231344000 its reverse (44313213545), we get a palindrome (54575544557545).

The spelling of 54531231344000 in words is "fifty-four trillion, five hundred thirty-one billion, two hundred thirty-one million, three hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 467 500 640 800 934 1000 1600 1868 2000 2335 3200 3736 4000 4670 7472 8000 9340 11675 14944 16000 18680 23350 29888 37360 46700 58375 59776 74720 93400 116750 149440 186800 233500 298880 373600 467000 747200 934000 1494400 1868000 3736000 7298077 7472000 14596154 29192308 36490385 58384616 72980770 116769232 145961540 182451925 233538464 291923080 364903850 467076928 583846160 729807700 912259625 934153856 1167692320 1459615400 1824519250 2335384640 2919230800 3408201959 3649038500 4670769280 5838461600 6816403918 7298077000 11676923200 13632807836 14596154000 17041009795 23353846400 27265615672 29192308000 34082019590 54531231344 58384616000 68164039180 85205048975 109062462688 116769232000 136328078360 170410097950 218124925376 272656156720 340820195900 426025244875 436249850752 545312313440 681640391800 852050489750 1090624626880 1363280783600 1704100979500 2181249253760 2726561567200 3408201959000 5453123134400 6816403918000 10906246268800 13632807836000 27265615672000 54531231344000