Search a number
-
+
415120486193 = 7217232942049
BaseRepresentation
bin1100000101001110001…
…10111110111100110001
31110200111110102122122222
412002213012332330301
523300131321024233
6514412000410425
741664033625100
oct6024706767461
91420443378588
10415120486193
11150062768486
1268553016a15
13301b81216aa
14161403cc037
15abe90ac898
hex60a71bef31

415120486193 has 36 divisors (see below), whose sum is σ = 534498444900. Its totient is φ = 320326465536.

The previous prime is 415120486171. The next prime is 415120486199. The reversal of 415120486193 is 391684021514.

It can be written as a sum of positive squares in 2 ways, for example, as 354283277089 + 60837209104 = 595217^2 + 246652^2 .

It is not a de Polignac number, because 415120486193 - 26 = 415120486129 is a prime.

It is a super-2 number, since 2×4151204861932 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (415120486199) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30368 + ... + 911681.

It is an arithmetic number, because the mean of its divisors is an integer number (14847179025).

Almost surely, 2415120486193 is an apocalyptic number.

It is an amenable number.

415120486193 is a deficient number, since it is larger than the sum of its proper divisors (119377958707).

415120486193 is a wasteful number, since it uses less digits than its factorization.

415120486193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942126 (or 942096 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 415120486193 in words is "four hundred fifteen billion, one hundred twenty million, four hundred eighty-six thousand, one hundred ninety-three".

Divisors: 1 7 17 23 49 119 161 391 529 833 1127 2737 3703 8993 19159 25921 62951 440657 942049 6594343 16014833 21667127 46160401 112103831 151669889 368341159 498343921 784726817 1061689223 2578388113 3488407447 8471846657 18048716791 24418852129 59302926599 415120486193