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241401323024010 = 23453713758793909
BaseRepresentation
bin110110111000110110100000…
…000110110110111010001010
31011122201202000021001110010000
4312320312200012312322022
5223120104402143232020
62213230123053303430
7101563445552504262
oct6670664006667212
91148652007043100
10241401323024010
116aa107a9589186
12230a923a794b76
13a49107c59a146
144387c5a3007a2
151cd9608158090
hexdb8da01b6e8a

241401323024010 has 160 divisors (see below), whose sum is σ = 671510645079120. Its totient is φ = 62176674290688.

The previous prime is 241401323023937. The next prime is 241401323024021. The reversal of 241401323024010 is 10420323104142.

241401323024010 is a `hidden beast` number, since 2 + 4 + 1 + 401 + 3 + 2 + 3 + 0 + 240 + 10 = 666.

241401323024010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 117212431007961 + 124188892016049 = 10826469^2 + 11144007^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25291065 + ... + 33502844.

Almost surely, 2241401323024010 is an apocalyptic number.

241401323024010 is an abundant number, since it is smaller than the sum of its proper divisors (430109322055110).

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

241401323024010 is a wasteful number, since it uses less digits than its factorization.

241401323024010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58794102 (or 58794093 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 241401323024010 its reverse (10420323104142), we get a palindrome (251821646128152).

The spelling of 241401323024010 in words is "two hundred forty-one trillion, four hundred one billion, three hundred twenty-three million, twenty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 137 162 185 222 270 274 333 370 405 411 555 666 685 810 822 999 1110 1233 1370 1665 1998 2055 2466 2997 3330 3699 4110 4995 5069 5994 6165 7398 9990 10138 11097 12330 14985 15207 18495 22194 25345 29970 30414 36990 45621 50690 55485 76035 91242 110970 136863 152070 228105 273726 410589 456210 684315 821178 1368630 2052945 4105890 58793909 117587818 176381727 293969545 352763454 529145181 587939090 881908635 1058290362 1587435543 1763817270 2175374633 2645725905 3174871086 4350749266 4762306629 5291451810 6526123899 7937177715 8054765533 9524613258 10876873165 13052247798 15874355430 16109531066 19578371697 21753746330 23811533145 24164296599 32630619495 39156743394 40273827665 47623066290 48328593198 58735115091 65261238990 72492889797 80547655330 97891858485 117470230182 120821482995 144985779594 176205345273 195783716970 217478669391 241642965990 293675575455 298026324721 352410690546 362464448985 434957338782 587351150910 596052649442 652436008173 724928897970 881026726365 894078974163 1087393346955 1304872016346 1490131623605 1762053452730 1788157948326 2174786693910 2682236922489 2980263247210 3262180040865 4470394870815 5364473844978 6524360081730 8046710767467 8940789741630 13411184612445 16093421534934 24140132302401 26822369224890 40233553837335 48280264604802 80467107674670 120700661512005 241401323024010