Search a number
-
+
414411350121141 = 37127764310923487
BaseRepresentation
bin101111000111001111010100…
…1010100001001101010110101
32000100022100010112000100001020
41132032132221110021222311
5413304203421112334031
64025213540202451353
7153201142402540212
oct13616365124115265
92010270115010036
10414411350121141
1111005395950968a
123a58b842803b59
1314a30a90433a39
14744988b448b09
1532d9bcc0c4096
hex178e7a9509ab5

414411350121141 has 32 divisors (see below), whose sum is σ = 563228324241408. Its totient is φ = 270977606383680.

The previous prime is 414411350120939. The next prime is 414411350121143. The reversal of 414411350121141 is 141121053114414.

It is a happy number.

It is not a de Polignac number, because 414411350121141 - 218 = 414411349858997 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414411350121143) 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, 32475900 + ... + 43399386.

It is an arithmetic number, because the mean of its divisors is an integer number (17600885132544).

Almost surely, 2414411350121141 is an apocalyptic number.

It is an amenable number.

414411350121141 is a deficient number, since it is larger than the sum of its proper divisors (148816974120267).

414411350121141 is a wasteful number, since it uses less digits than its factorization.

414411350121141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10924481.

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 414411350121141 in words is "four hundred fourteen trillion, four hundred eleven billion, three hundred fifty million, one hundred twenty-one thousand, one hundred forty-one".

Divisors: 1 3 71 213 277 643 831 1929 19667 45653 59001 136959 178111 534333 10923487 12645881 32770461 37937643 775567577 2326702731 3025805899 7023802141 9077417697 21071406423 214832218829 498689952011 644496656487 1496069856033 1945593193057 5836779579171 138137116707047 414411350121141