Search a number
-
+
245100234010140 = 22345530328530349
BaseRepresentation
bin110111101110101011011000…
…011000011110111000011100
31012010211100112201122111010000
4313232223120120132320130
5224111210234401311030
62225141254301014300
7102424623200226345
oct6756533030367034
91163740481574100
10245100234010140
1171107475392293
12235a6098554390
13a69bb11a61972
144474cb3a1d0cc
151d5094603d860
hexdeead861ee1c

245100234010140 has 120 divisors (see below), whose sum is σ = 769033530064800. Its totient is φ = 65347735001472.

The previous prime is 245100234010129. The next prime is 245100234010147. The reversal of 245100234010140 is 41010432001542.

245100234010140 is a `hidden beast` number, since 2 + 4 + 510 + 0 + 2 + 3 + 4 + 0 + 1 + 0 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245100234010147) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5674315 + ... + 22856034.

It is an arithmetic number, because the mean of its divisors is an integer number (6408612750540).

Almost surely, 2245100234010140 is an apocalyptic number.

245100234010140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245100234010140 is an abundant number, since it is smaller than the sum of its proper divisors (523933296054660).

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

245100234010140 is a wasteful number, since it uses less digits than its factorization.

245100234010140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28535673 (or 28535662 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 245100234010140 its reverse (41010432001542), we get a palindrome (286110666011682).

The spelling of 245100234010140 in words is "two hundred forty-five trillion, one hundred billion, two hundred thirty-four million, ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 5303 10606 15909 21212 26515 31818 47727 53030 63636 79545 95454 106060 143181 159090 190908 238635 286362 318180 429543 477270 572724 715905 859086 954540 1431810 1718172 2147715 2863620 4295430 8590860 28530349 57060698 85591047 114121396 142651745 171182094 256773141 285303490 342364188 427955235 513546282 570606980 770319423 855910470 1027092564 1283865705 1540638846 1711820940 2310958269 2567731410 3081277692 3851597115 4621916538 5135462820 7703194230 9243833076 11554791345 15406388460 23109582690 46219165380 151296440747 302592881494 453889322241 605185762988 756482203735 907778644482 1361667966723 1512964407470 1815557288964 2269446611205 2723335933446 3025928814940 4085003900169 4538893222410 5446671866892 6808339833615 8170007800338 9077786444820 12255011700507 13616679667230 16340015600676 20425019500845 24510023401014 27233359334460 40850039001690 49020046802028 61275058502535 81700078003380 122550117005070 245100234010140