Search a number
-
+
141434807248 = 24717197377071
BaseRepresentation
bin1000001110111000101…
…0111110001111010000
3111112001211112122021101
42003232022332033100
54304124302312443
6144550234434144
713134613011550
oct2035612761720
9445054478241
10141434807248
1154a89297059
12234b2292954
131044cc09877
146bba001160
153a2bb8e84d
hex20ee2be3d0

141434807248 has 80 divisors (see below), whose sum is σ = 333283382784. Its totient is φ = 56759592960.

The previous prime is 141434807233. The next prime is 141434807273. The reversal of 141434807248 is 842708434141.

141434807248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 141434807198 and 141434807207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186553 + ... + 563623.

Almost surely, 2141434807248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141434807248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166641691392).

141434807248 is an abundant number, since it is smaller than the sum of its proper divisors (191848575536).

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

141434807248 is a wasteful number, since it uses less digits than its factorization.

141434807248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377300 (or 377294 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 46.

The spelling of 141434807248 in words is "one hundred forty-one billion, four hundred thirty-four million, eight hundred seven thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 197 238 272 394 476 788 952 1379 1576 1904 2758 3152 3349 5516 6698 11032 13396 22064 23443 26792 46886 53584 93772 187544 375088 377071 754142 1508284 2639497 3016568 5278994 6033136 6410207 10557988 12820414 21115976 25640828 42231952 44871449 51281656 74282987 89742898 102563312 148565974 179485796 297131948 358971592 519980909 594263896 717943184 1039961818 1188527792 1262810779 2079923636 2525621558 4159847272 5051243116 8319694544 8839675453 10102486232 17679350906 20204972464 35358701812 70717403624 141434807248