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40253101280 = 2557193318593
BaseRepresentation
bin100101011111010001…
…011001010011100000
310211220022022102011222
4211133101121103200
51124414243220110
630254135354212
72623336500260
oct453721312340
9124808272158
1040253101280
111608690a857
127974822968
133a4663c732
141d3c0537a0
1510a8d2ec55
hex95f4594e0

40253101280 has 96 divisors (see below), whose sum is σ = 108745447104. Its totient is φ = 13793181696.

The previous prime is 40253101267. The next prime is 40253101283. The reversal of 40253101280 is 8210135204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40253101283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2155664 + ... + 2174256.

It is an arithmetic number, because the mean of its divisors is an integer number (1132765074).

Almost surely, 240253101280 is an apocalyptic number.

40253101280 is a gapful number since it is divisible by the number (40) 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 40253101280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54372723552).

40253101280 is an abundant number, since it is smaller than the sum of its proper divisors (68492345824).

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

40253101280 is a wasteful number, since it uses less digits than its factorization.

40253101280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20548 (or 20540 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 40253101280 its reverse (8210135204), we get a palindrome (48463236484).

The spelling of 40253101280 in words is "forty billion, two hundred fifty-three million, one hundred one thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1933 3866 7732 9665 13531 15464 18593 19330 27062 30928 37186 38660 54124 61856 67655 74372 77320 92965 108248 130151 135310 148744 154640 185930 216496 260302 270620 297488 309280 371860 432992 520604 541240 594976 650755 743720 1041208 1082480 1301510 1487440 2082416 2164960 2603020 2974880 4164832 5206040 10412080 20824160 35940269 71880538 143761076 179701345 251581883 287522152 359402690 503163766 575044304 718805380 1006327532 1150088608 1257909415 1437610760 2012655064 2515818830 2875221520 4025310128 5031637660 5750443040 8050620256 10063275320 20126550640 40253101280