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241416213074316 = 2232743136691629899
BaseRepresentation
bin110110111001000100010111…
…100111111001000110001100
31011122210011102222022101011200
4312321010113213321012030
5223120330401021334231
62213241024402545500
7101564513546031540
oct6671042747710614
91148704388271150
10241416213074316
116aa1704a633385
12230b00b5368290
13a4925b33ca9b7
14438886daa3a20
151cd9bca49ebe6
hexdb91179f918c

241416213074316 has 144 divisors (see below), whose sum is σ = 713696439456000. Its totient is φ = 67366996292736.

The previous prime is 241416213074297. The next prime is 241416213074317. The reversal of 241416213074316 is 613470312614142.

241416213074316 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 1 + 6 + 21 + 307 + 4 + 316 = 666.

It is a super-2 number, since 2×2414162130743162 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (241416213074317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147302335 + ... + 148932233.

It is an arithmetic number, because the mean of its divisors is an integer number (4956225274000).

Almost surely, 2241416213074316 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 241416213074316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356848219728000).

241416213074316 is an abundant number, since it is smaller than the sum of its proper divisors (472280226381684).

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

241416213074316 is a wasteful number, since it uses less digits than its factorization.

241416213074316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643628 (or 1643623 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

Adding to 241416213074316 its reverse (613470312614142), we get a palindrome (854886525688458).

The spelling of 241416213074316 in words is "two hundred forty-one trillion, four hundred sixteen billion, two hundred thirteen million, seventy-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1806 2709 3612 5418 10836 13669 27338 41007 54676 82014 95683 123021 164028 191366 246042 287049 382732 492084 574098 587767 861147 1148196 1175534 1629899 1722294 1763301 2351068 3259798 3444588 3526602 4114369 4889697 5289903 6519596 7053204 8228738 9779394 10579806 11409293 12343107 14669091 16457476 19558788 21159612 22818586 24686214 29338182 34227879 37029321 45637172 49372428 58676364 68455758 70085657 74058642 102683637 136911516 140171314 148117284 205367274 210256971 280342628 410734548 420513942 490599599 630770913 841027884 981199198 1261541826 1471798797 1962398396 2523083652 2943597594 4415396391 5887195188 8830792782 17661585564 22279089431 44558178862 66837268293 89116357724 133674536586 155953626017 200511804879 267349073172 311907252034 401023609758 467860878051 623814504068 802047219516 935721756102 958000845533 1403582634153 1871443512204 1916001691066 2807165268306 2874002536599 3832003382132 5614330536612 5748005073198 6706005918731 8622007609797 11496010146396 13412011837462 17244015219594 20118017756193 26824023674924 34488030439188 40236035512386 60354053268579 80472071024772 120708106537158 241416213074316