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141403122 = 2327337619
BaseRepresentation
bin10000110110110…
…10001111110010
3100212002000121200
420123122033302
5242144344442
622010432030
73334623000
oct1033321762
9325060550
10141403122
1172900293
123b432616
13233abbb3
1414acba70
15c63234c
hex86da3f2

141403122 has 96 divisors (see below), whose sum is σ = 367536000. Its totient is φ = 39245472.

The previous prime is 141403091. The next prime is 141403133. The reversal of 141403122 is 221304141.

141403122 is a `hidden beast` number, since 141 + 403 + 122 = 666.

It is a super-2 number, since 2×1414031222 = 39989685822693768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 141403095 and 141403104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228129 + ... + 228747.

It is an arithmetic number, because the mean of its divisors is an integer number (3828500).

Almost surely, 2141403122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141403122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183768000).

141403122 is an abundant number, since it is smaller than the sum of its proper divisors (226132878).

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

141403122 is a wasteful number, since it uses less digits than its factorization.

141403122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 141403122 is about 11891.3044700739. The cubic root of 141403122 is about 520.9783381614.

Adding to 141403122 its reverse (221304141), we get a palindrome (362707263).

The spelling of 141403122 in words is "one hundred forty-one million, four hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 49 63 74 98 111 126 147 222 259 294 333 343 441 518 619 666 686 777 882 1029 1238 1554 1813 1857 2058 2331 3087 3626 3714 4333 4662 5439 5571 6174 8666 10878 11142 12691 12999 16317 22903 25382 25998 30331 32634 38073 38997 45806 60662 68709 76146 77994 90993 114219 137418 160321 181986 206127 212317 228438 272979 320642 412254 424634 480963 545958 636951 961926 1122247 1273902 1442889 1910853 2244494 2885778 3366741 3821706 6733482 7855729 10100223 15711458 20200446 23567187 47134374 70701561 141403122