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33054322140 = 223257262110009
BaseRepresentation
bin11110110010001100…
…001110110111011100
310011022121112112200100
4132302030032313130
51020143401302030
623103540501100
72250055050060
oct366214166734
9104277475610
1033054322140
1113022337504
1264a59aa790
13316a0b90c8
141857d51aa0
15cd6d4d360
hex7b230eddc

33054322140 has 144 divisors (see below), whose sum is σ = 114643488960. Its totient is φ = 7551636480.

The previous prime is 33054322129. The next prime is 33054322153. The reversal of 33054322140 is 4122345033.

33054322140 is a `hidden beast` number, since 330 + 5 + 4 + 322 + 1 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3297456 + ... + 3307464.

It is an arithmetic number, because the mean of its divisors is an integer number (796135340).

Almost surely, 233054322140 is an apocalyptic number.

33054322140 is a gapful number since it is divisible by the number (30) 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 33054322140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57321744480).

33054322140 is an abundant number, since it is smaller than the sum of its proper divisors (81589166820).

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

33054322140 is a wasteful number, since it uses less digits than its factorization.

33054322140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12652 (or 12647 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 33054322140 its reverse (4122345033), we get a palindrome (37176667173).

The spelling of 33054322140 in words is "thirty-three billion, fifty-four million, three hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2621 5242 7863 10009 10484 13105 15726 18347 20018 23589 26210 30027 31452 36694 39315 40036 47178 50045 52420 55041 60054 70063 73388 78630 90081 91735 94356 100090 110082 117945 120108 140126 150135 157260 165123 180162 183470 200180 210189 220164 235890 275205 280252 300270 330246 350315 360324 366940 420378 450405 471780 550410 600540 630567 660492 700630 825615 840756 900810 1050945 1100820 1261134 1401260 1651230 1801620 2101890 2522268 3152835 3302460 4203780 6305670 12611340 26233589 52467178 78700767 104934356 131167945 157401534 183635123 236102301 262335890 314803068 367270246 393503835 472204602 524671780 550905369 734540492 787007670 918175615 944409204 1101810738 1180511505 1574015340 1652716107 1836351230 2203621476 2361023010 2754526845 3305432214 3672702460 4722046020 5509053690 6610864428 8263580535 11018107380 16527161070 33054322140