Search a number
-
+
241416141425352 = 23328340397614027
BaseRepresentation
bin110110111001000100010011…
…010110100100101011001000
31011122210011020222111020021100
4312321010103112210223020
5223120330224201102402
62213241013323141400
7101564512016026455
oct6671042326445310
91148704228436240
10241416141425352
116aa17013146463
12230b0095374860
13a4925a160276a
14438886437282c
151cd9bc404a71c
hexdb91135a4ac8

241416141425352 has 48 divisors (see below), whose sum is σ = 661712917778640. Its totient is φ = 79502504403168.

The previous prime is 241416141425339. The next prime is 241416141425357. The reversal of 241416141425352 is 253524141614142.

241416141425352 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 1 + 614 + 1 + 4 + 25 + 3 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 241416141425298 and 241416141425307.

It is not an unprimeable number, because it can be changed into a prime (241416141425357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20198801038 + ... + 20198812989.

It is an arithmetic number, because the mean of its divisors is an integer number (13785685787055).

Almost surely, 2241416141425352 is an apocalyptic number.

It is an amenable number.

241416141425352 is an abundant number, since it is smaller than the sum of its proper divisors (420296776353288).

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

241416141425352 is a wasteful number, since it uses less digits than its factorization.

241416141425352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40397614122 (or 40397614115 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 241416141425352 in words is "two hundred forty-one trillion, four hundred sixteen billion, one hundred forty-one million, four hundred twenty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2988 5976 40397614027 80795228054 121192842081 161590456108 242385684162 323180912216 363578526243 484771368324 727157052486 969542736648 1454314104972 2908628209944 3353001964241 6706003928482 10059005892723 13412007856964 20118011785446 26824015713928 30177017678169 40236023570892 60354035356338 80472047141784 120708070712676 241416141425352