Search a number
-
+
411234040432114 = 27383137247706579
BaseRepresentation
bin101110110000000111110001…
…0111001100100010111110010
31222221001120221100021121012121
41131200033202321210113302
5412400124303322311424
64014342150553144454
7152422451612023204
oct13540174271442762
91887046840247177
10411234040432114
1110a039416a7a229
123a157ab40bb12a
1314860285462ba3
147379b95b86774
15328221b445ee4
hex17603e2e645f2

411234040432114 has 32 divisors (see below), whose sum is σ = 637454057929920. Its totient is φ = 198894510565632.

The previous prime is 411234040432081. The next prime is 411234040432153.

411234040432114 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4112340404321142 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 411234040432114.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122193124 + ... + 125513455.

It is an arithmetic number, because the mean of its divisors is an integer number (19920439310310).

Almost surely, 2411234040432114 is an apocalyptic number.

411234040432114 is a deficient number, since it is larger than the sum of its proper divisors (226220017497806).

411234040432114 is a wasteful number, since it uses less digits than its factorization.

411234040432114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247706874.

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 411234040432114 in words is "four hundred eleven trillion, two hundred thirty-four billion, forty million, four hundred thirty-two thousand, one hundred fourteen".

Divisors: 1 2 73 83 137 146 166 274 6059 10001 11371 12118 20002 22742 830083 1660166 247706579 495413158 18082580267 20559646057 33935801323 36165160534 41119292114 67871602646 1500854162161 2477313496579 2816671509809 3001708324322 4954626993158 5633343019618 205617020216057 411234040432114