Search a number
-
+
254132555251320 = 23345115368027731
BaseRepresentation
bin111001110010000111011000…
…101011100111111001111000
31020022210211112201120111010000
4321302013120223213321320
5231302201433121020240
62300254514551553000
7104346320425063524
oct7162073053477170
91208724481514100
10254132555251320
1173a7a014243289
122460471268b760
13aba579bb87c25
1446a811d14ad84
151e5a88700e430
hexe721d8ae7e78

254132555251320 has 160 divisors (see below), whose sum is σ = 854908589707920. Its totient is φ = 67709904445440.

The previous prime is 254132555251297. The next prime is 254132555251361. The reversal of 254132555251320 is 23152555231452.

254132555251320 is a `hidden beast` number, since 2 + 5 + 4 + 1 + 3 + 25 + 55 + 251 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30278146 + ... + 37749585.

Almost surely, 2254132555251320 is an apocalyptic number.

254132555251320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254132555251320 is an abundant number, since it is smaller than the sum of its proper divisors (600776034456600).

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

254132555251320 is a wasteful number, since it uses less digits than its factorization.

254132555251320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68028907 (or 68028894 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 254132555251320 in words is "two hundred fifty-four trillion, one hundred thirty-two billion, five hundred fifty-five million, two hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1153 1620 2306 3240 3459 4612 5765 6918 9224 10377 11530 13836 17295 20754 23060 27672 31131 34590 41508 46120 51885 62262 69180 83016 93393 103770 124524 138360 155655 186786 207540 249048 311310 373572 415080 466965 622620 747144 933930 1245240 1867860 3735720 68027731 136055462 204083193 272110924 340138655 408166386 544221848 612249579 680277310 816332772 1020415965 1224499158 1360554620 1632665544 1836748737 2040831930 2448998316 2721109240 3061247895 3673497474 4081663860 4897996632 5510246211 6122495790 7346994948 8163327720 9183743685 11020492422 12244991580 14693989896 18367487370 22040984844 24489983160 27551231055 36734974740 44081969688 55102462110 73469949480 78435973843 110204924220 156871947686 220409848440 235307921529 313743895372 392179869215 470615843058 627487790744 705923764587 784359738430 941231686116 1176539607645 1411847529174 1568719476860 1882463372232 2117771293761 2353079215290 2823695058348 3137438953720 3529618822935 4235542587522 4706158430580 5647390116696 6353313881283 7059237645870 8471085175044 9412316861160 10588856468805 12706627762566 14118475291740 16942170350088 21177712937610 25413255525132 28236950583480 31766569406415 42355425875220 50826511050264 63533138812830 84710851750440 127066277625660 254132555251320