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25023640441041 = 321117103144354109
BaseRepresentation
bin1011011000010010001010…
…01100110001000011010001
310021121020101112020110121100
411230021011030301003101
511234441403423103131
6125115411323215013
75161620065145504
oct554110514610321
9107536345213540
1025023640441041
117a78514733880
1229818ba677469
1310c6947022248
146272175a513b
152d5dc7c227e6
hex16c2453310d1

25023640441041 has 48 divisors (see below), whose sum is σ = 42156019451520. Its totient is φ = 14135154255360.

The previous prime is 25023640440991. The next prime is 25023640441061. The reversal of 25023640441041 is 14014404632052.

25023640441041 is a `hidden beast` number, since 2 + 5 + 0 + 2 + 3 + 640 + 4 + 4 + 1 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 25023640441041 - 210 = 25023640440017 is a prime.

It is a super-2 number, since 2×250236404410412 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25023640440987 and 25023640441005.

It is not an unprimeable number, because it can be changed into a prime (25023640441061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72003706 + ... + 72350403.

It is an arithmetic number, because the mean of its divisors is an integer number (878250405240).

Almost surely, 225023640441041 is an apocalyptic number.

It is an amenable number.

25023640441041 is a deficient number, since it is larger than the sum of its proper divisors (17132379010479).

25023640441041 is a wasteful number, since it uses less digits than its factorization.

25023640441041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144354246 (or 144354243 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 25023640441041 in words is "twenty-five trillion, twenty-three billion, six hundred forty million, four hundred forty-one thousand, forty-one".

Divisors: 1 3 9 11 17 33 51 99 103 153 187 309 561 927 1133 1683 1751 3399 5253 10197 15759 19261 57783 173349 144354109 433062327 1299186981 1587895199 2454019853 4763685597 7362059559 14291056791 14868473227 22086178677 26994218383 44605419681 80982655149 133816259043 163553205497 242947965447 252764044859 490659616491 758292134577 1471978849473 2274876403731 2780404493449 8341213480347 25023640441041