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414141400341 = 33311697291569
BaseRepresentation
bin1100000011011001100…
…00000100010100010101
31110120222020002221101000
412001230300010110111
523241130144302331
6514130503253513
741630544551304
oct6015460042425
91416866087330
10414141400341
1114a700029819
126831b14a299
1330090327a56
141608a36643b
15ab8d15d0e6
hex606cc04515

414141400341 has 32 divisors (see below), whose sum is σ = 633709900800. Its totient is φ = 267029637120.

The previous prime is 414141400319. The next prime is 414141400363. The reversal of 414141400341 is 143004141414.

It is an interprime number because it is at equal distance from previous prime (414141400319) and next prime (414141400363).

It is not a de Polignac number, because 414141400341 - 29 = 414141399829 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414141400301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1274605 + ... + 1566173.

It is an arithmetic number, because the mean of its divisors is an integer number (19803434400).

Almost surely, 2414141400341 is an apocalyptic number.

It is an amenable number.

414141400341 is a deficient number, since it is larger than the sum of its proper divisors (219568500459).

414141400341 is a wasteful number, since it uses less digits than its factorization.

414141400341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293306 (or 293300 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 414141400341 its reverse (143004141414), we get a palindrome (557145541755).

The spelling of 414141400341 in words is "four hundred fourteen billion, one hundred forty-one million, four hundred thousand, three hundred forty-one".

Divisors: 1 3 9 27 31 93 279 837 1697 5091 15273 45819 52607 157821 291569 473463 874707 1420389 2624121 7872363 9038639 27115917 81347751 244043253 494792593 1484377779 4453133337 13359400011 15338570383 46015711149 138047133447 414141400341