Search a number
-
+
141611025864 = 233721110947049
BaseRepresentation
bin1000001111100010101…
…1001100010111001000
3111112112010010110202210
42003320223030113020
54310004410311424
6145015531425120
713142152600500
oct2037053142710
9445463113683
10141611025864
1155069806780
12235412b51a0
131047a588539
146bd5592a00
153a3c39c729
hex20f8acc5c8

141611025864 has 96 divisors (see below), whose sum is σ = 449266932000. Its totient is φ = 36782081280.

The previous prime is 141611025827. The next prime is 141611025883. The reversal of 141611025864 is 468520116141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5460589 + ... + 5486460.

It is an arithmetic number, because the mean of its divisors is an integer number (4679863875).

Almost surely, 2141611025864 is an apocalyptic number.

141611025864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

141611025864 is an abundant number, since it is smaller than the sum of its proper divisors (307655906136).

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

141611025864 is a wasteful number, since it uses less digits than its factorization.

141611025864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10947083 (or 10947072 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 141611025864 in words is "one hundred forty-one billion, six hundred eleven million, twenty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 924 1078 1176 1617 1848 2156 3234 4312 6468 12936 10947049 21894098 32841147 43788196 65682294 76629343 87576392 120417539 131364588 153258686 229888029 240835078 262729176 306517372 361252617 459776058 481670156 536405401 613034744 722505234 842922773 919552116 963340312 1072810802 1445010468 1609216203 1685845546 1839104232 2145621604 2528768319 2890020936 3218432406 3371691092 4291243208 5057536638 5900459411 6436864812 6743382184 10115073276 11800918822 12873729624 17701378233 20230146552 23601837644 35402756466 47203675288 70805512932 141611025864