Search a number
-
+
241012354004112 = 243292437365919417
BaseRepresentation
bin110110110011001100001111…
…101111110011010010010000
31011121100120000100012221001210
4312303030033233303102100
5223042221300111112422
62212331314045300120
7101523365544416145
oct6663141757632220
91147316010187053
10241012354004112
116a880846724469
1223045985864640
13a4634a1412582
1443730bb1943cc
151cce43edbd10c
hexdb330fbf3490

241012354004112 has 160 divisors (see below), whose sum is σ = 644558326876800. Its totient is φ = 77510183030784.

The previous prime is 241012354004063. The next prime is 241012354004297. The reversal of 241012354004112 is 211400453210142.

It is a self number, because there is not a number n which added to its sum of digits gives 241012354004112.

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, 12412430628 + ... + 12412450044.

It is an arithmetic number, because the mean of its divisors is an integer number (4028489542980).

Almost surely, 2241012354004112 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 241012354004112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322279163438400).

241012354004112 is an abundant number, since it is smaller than the sum of its proper divisors (403545972872688).

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

241012354004112 is a wasteful number, since it uses less digits than its factorization.

241012354004112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25553 (or 25547 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 241012354004112 in words is "two hundred forty-one trillion, twelve billion, three hundred fifty-four million, four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 2437 3659 4874 7311 7318 9748 10977 14622 14636 19417 19496 21954 29244 29272 38834 38992 43908 58251 58488 58544 70673 77668 87816 106111 116502 116976 141346 155336 175632 212019 212222 233004 282692 310672 318333 424038 424444 466008 563093 565384 636666 848076 848888 932016 1126186 1130768 1273332 1689279 1696152 1697776 2252372 2546664 3378558 3392304 4504744 5093328 6757116 8916983 9009488 13514232 17833966 26750949 27028464 35667932 47319229 53501898 71046803 71335864 94638458 107003796 141957687 142093606 142671728 189276916 213140409 214007592 258592507 283915374 284187212 378553832 426280818 428015184 517185014 567830748 568374424 757107664 775777521 852561636 1034370028 1135661496 1136748848 1372257641 1551555042 1705123272 2060357287 2068740056 2271322992 2744515282 3103110084 3410246544 4116772923 4120714574 4137480112 5489030564 6181071861 6206220168 8233545846 8241429148 10978061128 12362143722 12412440336 16467091692 16482858296 21956122256 24724287444 32934183384 32965716592 49448574888 65868366768 98897149776 173141058911 346282117822 519423176733 692564235644 1038846353466 1385128471288 2077692706932 2770256942576 4155385413864 5021090708419 8310770827728 10042181416838 15063272125257 20084362833676 30126544250514 40168725667352 60253088501028 80337451334704 120506177002056 241012354004112