Search a number
-
+
540103322254050 = 23452197018886579
BaseRepresentation
bin111101011001110001001101…
…0101010100011101011100010
32121211100101002011112222210000
41322303202122222203223202
51031243023100444112200
65152412012500320430
7221523114551626662
oct17263423252435342
92554311064488700
10540103322254050
11147103594a47645
12506ab7859a3116
131a24a6a8b42589
1497531d6cc61a2
1542694d8351300
hex1eb389aaa3ae2

540103322254050 has 120 divisors (see below), whose sum is σ = 1579670613694800. Its totient is φ = 136447155076320.

The previous prime is 540103322254033. The next prime is 540103322254079. The reversal of 540103322254050 is 50452223301045.

540103322254050 is a `hidden beast` number, since 5 + 4 + 0 + 10 + 3 + 32 + 22 + 540 + 50 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 540103322253996 and 540103322254014.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3509366340 + ... + 3509520239.

It is an arithmetic number, because the mean of its divisors is an integer number (13163921780790).

Almost surely, 2540103322254050 is an apocalyptic number.

540103322254050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

540103322254050 is an abundant number, since it is smaller than the sum of its proper divisors (1039567291440750).

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

540103322254050 is a wasteful number, since it uses less digits than its factorization.

540103322254050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7018886622 (or 7018886608 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 540103322254050 its reverse (50452223301045), we get a palindrome (590555545555095).

The spelling of 540103322254050 in words is "five hundred forty trillion, one hundred three billion, three hundred twenty-two million, two hundred fifty-four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 81 90 95 114 135 150 162 171 190 225 270 285 342 405 450 475 513 570 675 810 855 950 1026 1350 1425 1539 1710 2025 2565 2850 3078 4050 4275 5130 7695 8550 12825 15390 25650 38475 76950 7018886579 14037773158 21056659737 35094432895 42113319474 63169979211 70188865790 105283298685 126339958422 133358845001 175472164475 189509937633 210566597370 266717690002 315849896055 350944328950 379019875266 400076535003 526416493425 568529812899 631699792110 666794225005 800153070006 947549688165 1052832986850 1137059625798 1200229605009 1333588450010 1579249480275 1895099376330 2000382675015 2400459210018 2842649064495 3158498960550 3333971125025 3600688815027 4000765350030 4737748440825 5685298128990 6001148025045 6667942250050 7201377630054 9475496881650 10001913375075 10802066445081 12002296050090 14213245322475 18003444075135 20003826750150 21604132890162 28426490644950 30005740125225 36006888150270 54010332225405 60011480250450 90017220375675 108020664450810 180034440751350 270051661127025 540103322254050