Search a number
-
+
240255594562128 = 24359833373032999
BaseRepresentation
bin110110101000001011011101…
…010111101000001001010000
31011111200012200110211010110220
4312220023131113220021100
5222442321424201442003
62210551521344153040
7101414615414326005
oct6650133527501120
91144605613733426
10240255594562128
116a609909752a32
1222b43188608780
13a40a00b9b7802
14434860b9418ac
151cb98ecd23353
hexda82dd5e8250

240255594562128 has 160 divisors (see below), whose sum is σ = 640680243840000. Its totient is φ = 77548469311488.

The previous prime is 240255594562099. The next prime is 240255594562147. The reversal of 240255594562128 is 821265495552042.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77697373 + ... + 80730371.

It is an arithmetic number, because the mean of its divisors is an integer number (4004251524000).

Almost surely, 2240255594562128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240255594562128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320340121920000).

240255594562128 is an abundant number, since it is smaller than the sum of its proper divisors (400424649277872).

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

240255594562128 is a wasteful number, since it uses less digits than its factorization.

240255594562128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033489 (or 3033483 counting only the distinct ones).

The product of its (nonzero) digits is 69120000, while the sum is 60.

The spelling of 240255594562128 in words is "two hundred forty trillion, two hundred fifty-five billion, five hundred ninety-four million, five hundred sixty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 83 118 166 177 236 249 332 337 354 472 498 664 674 708 944 996 1011 1328 1348 1416 1992 2022 2696 2832 3984 4044 4897 5392 8088 9794 14691 16176 19588 19883 27971 29382 39176 39766 55942 58764 59649 78352 79532 83913 111884 117528 119298 159064 167826 223768 235056 238596 318128 335652 447536 477192 671304 954384 1342608 1650289 3032999 3300578 4950867 6065998 6601156 9098997 9901734 12131996 13202312 18197994 19803468 24263992 26404624 36395988 39606936 48527984 72791976 79213872 145583952 178946941 251738917 357893882 503477834 536840823 715787764 755216751 1006955668 1022120663 1073681646 1431575528 1510433502 2013911336 2044241326 2147363292 2863151056 3020867004 3066361989 4027822672 4088482652 4294726584 6041734008 6132723978 8176965304 8589453168 12083468016 12265447956 14852596103 16353930608 24530895912 29705192206 44557788309 49061791824 59410384412 60305119117 84836015029 89115576618 118820768824 120610238234 169672030058 178231153236 180915357351 237641537648 241220476468 254508045087 339344060116 356462306472 361830714702 482440952936 509016090174 678688120232 712924612944 723661429404 964881905872 1018032180348 1357376240464 1447322858808 2036064360696 2894645717616 4072128721392 5005324886711 10010649773422 15015974660133 20021299546844 30031949320266 40042599093688 60063898640532 80085198187376 120127797281064 240255594562128