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2545431331040 = 255137915490697
BaseRepresentation
bin100101000010100111100…
…001111100000011100000
3100000100012111010022012222
4211002213201330003200
5313201020410043130
65225204403210212
7351621106215533
oct45024741740340
910010174108188
102545431331040
118a1569699764
123513a3976968
13156057a84640
148b2b1740a1a
154632c350ce5
hex250a787c0e0

2545431331040 has 96 divisors (see below), whose sum is σ = 6558141905280. Its totient is φ = 927954653184.

The previous prime is 2545431331033. The next prime is 2545431331043. The reversal of 2545431331040 is 401331345452.

It is a super-2 number, since 2×25454313310402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2545431331043) 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, 7581029 + ... + 7909668.

It is an arithmetic number, because the mean of its divisors is an integer number (68313978180).

Almost surely, 22545431331040 is an apocalyptic number.

2545431331040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2545431331040 is an abundant number, since it is smaller than the sum of its proper divisors (4012710574240).

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

2545431331040 is a wasteful number, since it uses less digits than its factorization.

2545431331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15490804 (or 15490796 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 2545431331040 its reverse (401331345452), we get a palindrome (2946762676492).

The spelling of 2545431331040 in words is "two trillion, five hundred forty-five billion, four hundred thirty-one million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 79 80 104 130 158 160 208 260 316 395 416 520 632 790 1027 1040 1264 1580 2054 2080 2528 3160 4108 5135 6320 8216 10270 12640 16432 20540 32864 41080 82160 164320 15490697 30981394 61962788 77453485 123925576 154906970 201379061 247851152 309813940 402758122 495702304 619627880 805516244 1006895305 1223765063 1239255760 1611032488 2013790610 2447530126 2478511520 3222064976 4027581220 4895060252 6118825315 6444129952 8055162440 9790120504 12237650630 15908945819 16110324880 19580241008 24475301260 31817891638 32220649760 39160482016 48950602520 63635783276 79544729095 97901205040 127271566552 159089458190 195802410080 254543133104 318178916380 509086266208 636357832760 1272715665520 2545431331040