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242453251335312 = 24338339989169093
BaseRepresentation
bin110111001000001010001011…
…111010111010010010010000
31011210110022012221202102001000
4313020022023322322102100
5223234323224320212222
62215353252551542000
7102032445405562023
oct6710121372722220
91153408187672030
10242453251335312
11702869346a9a26
122323909338a900
13a539321c6c6b4
1443c2b2b1d11ba
151d06b736b59ac
hexdc828beba490

242453251335312 has 160 divisors (see below), whose sum is σ = 704337113289600. Its totient is φ = 79841573779968.

The previous prime is 242453251335307. The next prime is 242453251335349. The reversal of 242453251335312 is 213533152354242.

242453251335312 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 5 + 32 + 51 + 33 + 531 + 2 = 666.

It is a super-2 number, since 2×2424532513353122 (a number of 30 digits) contains 22 as substring.

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, 1433761038 + ... + 1433930130.

It is an arithmetic number, because the mean of its divisors is an integer number (4402106958060).

Almost surely, 2242453251335312 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 242453251335312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352168556644800).

242453251335312 is an abundant number, since it is smaller than the sum of its proper divisors (461883861954288).

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

242453251335312 is a wasteful number, since it uses less digits than its factorization.

242453251335312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209182 (or 209170 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 45.

The spelling of 242453251335312 in words is "two hundred forty-two trillion, four hundred fifty-three billion, two hundred fifty-one million, three hundred thirty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 144 166 216 249 332 432 498 664 747 996 1328 1494 1992 2241 2988 3984 4482 5976 8964 11952 17928 35856 39989 79978 119967 159956 169093 239934 319912 338186 359901 479868 507279 639824 676372 719802 959736 1014558 1079703 1352744 1439604 1521837 1919472 2029116 2159406 2705488 2879208 3043674 3319087 4058232 4318812 4565511 5758416 6087348 6638174 8116464 8637624 9131022 9957261 12174696 13276348 14034719 17275248 18262044 19914522 24349392 26552696 28069438 29871783 36524088 39829044 42104157 53105392 56138876 59743566 73048176 79658088 84208314 89615349 112277752 119487132 126312471 159316176 168416628 179230698 224555504 238974264 252624942 336833256 358461396 378937413 477948528 505249884 673666512 716922792 757874826 1010499768 1433845584 1515749652 2020999536 3031499304 6062998608 6761859977 13523719954 20285579931 27047439908 40571159862 54094879816 60856739793 81142319724 108189759632 121713479586 162284639448 182570219379 243426959172 324569278896 365140438758 486853918344 561234378091 730280877516 973707836688 1122468756182 1460561755032 1683703134273 2244937512364 2921123510064 3367406268546 4489875024728 5051109402819 6734812537092 8979750049456 10102218805638 13469625074184 15153328208457 20204437611276 26939250148368 30306656416914 40408875222552 60613312833828 80817750445104 121226625667656 242453251335312