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255534370440 = 23356171491677
BaseRepresentation
bin1110110111111100001…
…0010000111010001000
3220102120122000000010020
43231333002100322020
513141313244323230
6313220232220440
724314244211356
oct3557702207210
9812518000106
10255534370440
119940a543718
1241635b3a720
131b134847bbb
14c5218547d6
1569a8b27810
hex3b7f090e88

255534370440 has 128 divisors (see below), whose sum is σ = 790146213120. Its totient is φ = 66081254400.

The previous prime is 255534370433. The next prime is 255534370447. The reversal of 255534370440 is 44073435552.

255534370440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (255534370433) and next prime (255534370447).

It is a junction number, because it is equal to n+sod(n) for n = 255534370392 and 255534370401.

It is not an unprimeable number, because it can be changed into a prime (255534370447) 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, 273882 + ... + 765558.

It is an arithmetic number, because the mean of its divisors is an integer number (6173017290).

Almost surely, 2255534370440 is an apocalyptic number.

255534370440 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 255534370440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395073106560).

255534370440 is an abundant number, since it is smaller than the sum of its proper divisors (534611842680).

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

255534370440 is a wasteful number, since it uses less digits than its factorization.

255534370440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491823 (or 491819 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 42.

The spelling of 255534370440 in words is "two hundred fifty-five billion, five hundred thirty-four million, three hundred seventy thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 71 120 122 142 183 213 244 284 305 355 366 426 488 568 610 710 732 852 915 1065 1220 1420 1464 1704 1830 2130 2440 2840 3660 4260 4331 7320 8520 8662 12993 17324 21655 25986 34648 43310 51972 64965 86620 103944 129930 173240 259860 491677 519720 983354 1475031 1966708 2458385 2950062 3933416 4916770 5900124 7375155 9833540 11800248 14750310 19667080 29500620 29992297 34909067 59001240 59984594 69818134 89976891 104727201 119969188 139636268 149961485 174545335 179953782 209454402 239938376 279272536 299922970 349090670 359907564 418908804 449884455 523636005 599845940 698181340 719815128 837817608 899768910 1047272010 1199691880 1396362680 1799537820 2094544020 2129453087 3599075640 4189088040 4258906174 6388359261 8517812348 10647265435 12776718522 17035624696 21294530870 25553437044 31941796305 42589061740 51106874088 63883592610 85178123480 127767185220 255534370440