Search a number
-
+
411141101004 = 223219601083481
BaseRepresentation
bin1011111101110011110…
…10110101010111001100
31110022020010111221102100
411332321322311113030
523214004110213004
6512513044355100
741463313461024
oct5767172652714
91408203457370
10411141101004
11149400484497
12678223a5a90
132ca0286a1ba
1415c83ac2a84
15aa64a5a739
hex5fb9eb55cc

411141101004 has 36 divisors (see below), whose sum is σ = 1093971937240. Its totient is φ = 129834031680.

The previous prime is 411141100987. The next prime is 411141101017. The reversal of 411141101004 is 400101141114.

411141101004 is a `hidden beast` number, since 411 + 141 + 10 + 100 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300541057 + ... + 300542424.

Almost surely, 2411141101004 is an apocalyptic number.

It is an amenable number.

411141101004 is an abundant number, since it is smaller than the sum of its proper divisors (682830836236).

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

411141101004 is a wasteful number, since it uses less digits than its factorization.

411141101004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601083510 (or 601083505 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 411141101004 its reverse (400101141114), we get a palindrome (811242242118).

The spelling of 411141101004 in words is "four hundred eleven billion, one hundred forty-one million, one hundred one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 601083481 1202166962 1803250443 2404333924 3606500886 5409751329 7213001772 10819502658 11420586139 21639005316 22841172278 34261758417 45682344556 68523516834 102785275251 137047033668 205570550502 411141101004