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240241455040 = 2654765924239
BaseRepresentation
bin1101111110111110000…
…0011010111111000000
3211222002211200102001011
43133233200122333000
512414003303030130
6302210532050304
723233256450236
oct3375740327700
9758084612034
10240241455040
1192982046a64
123a688463994
1319868411932
14b8b0782956
1563b125352a
hex37ef81afc0

240241455040 has 112 divisors (see below), whose sum is σ = 585157478400. Its totient is φ = 93905380352.

The previous prime is 240241455017. The next prime is 240241455089. The reversal of 240241455040 is 40554142042.

240241455040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 240241454993 and 240241455011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9899241 + ... + 9923479.

Almost surely, 2240241455040 is an apocalyptic number.

240241455040 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 240241455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292578739200).

240241455040 is an abundant number, since it is smaller than the sum of its proper divisors (344916023360).

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

240241455040 is a wasteful number, since it uses less digits than its factorization.

240241455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24962 (or 24952 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

Adding to 240241455040 its reverse (40554142042), we get a palindrome (280795597082).

The spelling of 240241455040 in words is "two hundred forty billion, two hundred forty-one million, four hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 160 188 235 320 376 470 659 752 940 1318 1504 1880 2636 3008 3295 3760 5272 6590 7520 10544 13180 15040 21088 24239 26360 30973 42176 48478 52720 61946 96956 105440 121195 123892 154865 193912 210880 242390 247784 309730 387824 484780 495568 619460 775648 969560 991136 1139233 1238920 1551296 1939120 1982272 2278466 2477840 3878240 4556932 4955680 5696165 7756480 9113864 9911360 11392330 15973501 18227728 22784660 31947002 36455456 45569320 63894004 72910912 79867505 91138640 127788008 159735010 182277280 255576016 319470020 364554560 511152032 638940040 750754547 1022304064 1277880080 1501509094 2555760160 3003018188 3753772735 5111520320 6006036376 7507545470 12012072752 15015090940 24024145504 30030181880 48048291008 60060363760 120120727520 240241455040