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126140304240 = 2433561957349
BaseRepresentation
bin111010101111010001…
…1000100101101110000
3110001120221020101102000
41311132203010231300
54031313404213430
6133540440254000
712053605616016
oct1653643045560
9401527211360
10126140304240
114954aa05625
1220544171300
13bb83368aa2
146168a388b6
1534340a4e60
hex1d5e8c4b70

126140304240 has 160 divisors (see below), whose sum is σ = 441606408000. Its totient is φ = 33085946880.

The previous prime is 126140304209. The next prime is 126140304247. The reversal of 126140304240 is 42403041621.

It is a happy number.

126140304240 is a `hidden beast` number, since 1 + 2 + 614 + 0 + 3 + 0 + 4 + 2 + 40 = 666.

It is a super-2 number, since 2×1261403042402 (a number of 23 digits) contains 22 as substring.

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 (126140304247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 346915 + ... + 610434.

It is an arithmetic number, because the mean of its divisors is an integer number (2760040050).

Almost surely, 2126140304240 is an apocalyptic number.

126140304240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126140304240 is an abundant number, since it is smaller than the sum of its proper divisors (315466103760).

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

126140304240 is a wasteful number, since it uses less digits than its factorization.

126140304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957432 (or 957420 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 126140304240 its reverse (42403041621), we get a palindrome (168543345861).

The spelling of 126140304240 in words is "one hundred twenty-six billion, one hundred forty million, three hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 61 72 80 90 108 120 122 135 144 180 183 216 240 244 270 305 360 366 432 488 540 549 610 720 732 915 976 1080 1098 1220 1464 1647 1830 2160 2196 2440 2745 2928 3294 3660 4392 4880 5490 6588 7320 8235 8784 10980 13176 14640 16470 21960 26352 32940 43920 65880 131760 957349 1914698 2872047 3829396 4786745 5744094 7658792 8616141 9573490 11488188 14360235 15317584 17232282 19146980 22976376 25848423 28720470 34464564 38293960 43080705 45952752 51696846 57440940 58398289 68929128 76587920 86161410 103393692 114881880 116796578 129242115 137858256 172322820 175194867 206787384 229763760 233593156 258484230 291991445 344645640 350389734 413574768 467186312 516968460 525584601 583982890 689291280 700779468 875974335 934372624 1033936920 1051169202 1167965780 1401558936 1576753803 1751948670 2067873840 2102338404 2335931560 2627923005 2803117872 3153507606 3503897340 4204676808 4671863120 5255846010 6307015212 7007794680 7883769015 8409353616 10511692020 12614030424 14015589360 15767538030 21023384040 25228060848 31535076060 42046768080 63070152120 126140304240