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255410203140 = 2232525731717417
BaseRepresentation
bin1110110111011110100…
…0100110101000000100
3220102020222100122121100
43231313220212220010
513141040003000030
6313200035020100
724311205622521
oct3556750465004
9812228318540
10255410203140
1199356445a14
124160043a630
131b114bc2221
14c50d172148
15699cc9c360
hex3b77a26a04

255410203140 has 144 divisors (see below), whose sum is σ = 780257146032. Its totient is φ = 67626467328.

The previous prime is 255410203099. The next prime is 255410203199. The reversal of 255410203140 is 41302014552.

255410203140 is a `hidden beast` number, since 2 + 5 + 5 + 410 + 203 + 1 + 40 = 666.

255410203140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 16529730624 + 238880472516 = 128568^2 + 488754^2 .

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, 14655712 + ... + 14673128.

It is an arithmetic number, because the mean of its divisors is an integer number (5418452403).

Almost surely, 2255410203140 is an apocalyptic number.

255410203140 is a gapful number since it is divisible by the number (20) 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 255410203140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390128573016).

255410203140 is an abundant number, since it is smaller than the sum of its proper divisors (524846942892).

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

255410203140 is a wasteful number, since it uses less digits than its factorization.

255410203140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18006 (or 18001 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 255410203140 its reverse (41302014552), we get a palindrome (296712217692).

The spelling of 255410203140 in words is "two hundred fifty-five billion, four hundred ten million, two hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 257 317 514 634 771 951 1028 1268 1285 1542 1585 1902 2313 2570 2853 3084 3170 3804 3855 4626 4755 5140 5706 6340 7710 9252 9510 11412 11565 14265 15420 17417 19020 23130 28530 34834 46260 52251 57060 69668 81469 87085 104502 156753 162938 174170 209004 244407 261255 313506 325876 348340 407345 488814 522510 627012 733221 783765 814690 977628 1045020 1222035 1466442 1567530 1629380 2444070 2932884 3135060 3666105 4476169 4888140 5521189 7332210 8952338 11042378 13428507 14664420 16563567 17904676 22084756 22380845 26857014 27605945 33127134 40285521 44761690 49690701 53714028 55211890 66254268 67142535 80571042 82817835 89523380 99381402 110423780 134285070 161142084 165635670 198762804 201427605 248453505 268570140 331271340 402855210 496907010 805710420 993814020 1418945573 2837891146 4256836719 5675782292 7094727865 8513673438 12770510157 14189455730 17027346876 21284183595 25541020314 28378911460 42568367190 51082040628 63852550785 85136734380 127705101570 255410203140