Search a number
-
+
10014636631041 = 327237679160519
BaseRepresentation
bin1001000110111011011011…
…0110111110010000000001
31022110101112020122011000100
42101232312312332100001
52303034433434143131
633144354402513013
72052351013556100
oct221566666762001
938411466564010
1010014636631041
11321120232a609
121158aa1665769
135784b761a253
142689d4da6037
15125784dcc7e6
hex91bb6dbe401

10014636631041 has 72 divisors (see below), whose sum is σ = 17540050706880. Its totient is φ = 5484878473536.

The previous prime is 10014636631031. The next prime is 10014636631117. The reversal of 10014636631041 is 14013663641001.

10014636631041 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 4 + 636 + 6 + 3 + 10 + 4 + 1 = 666.

10014636631041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10014636631041 - 227 = 10014502413313 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10014636630987 and 10014636631005.

It is not an unprimeable number, because it can be changed into a prime (10014636631031) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3487021 + ... + 5673498.

Almost surely, 210014636631041 is an apocalyptic number.

It is an amenable number.

10014636631041 is a deficient number, since it is larger than the sum of its proper divisors (7525414075839).

10014636631041 is a wasteful number, since it uses less digits than its factorization.

10014636631041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9160643 (or 9160633 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10014636631041 in words is "ten trillion, fourteen billion, six hundred thirty-six million, six hundred thirty-one thousand, forty-one".

Divisors: 1 3 7 9 21 37 49 63 67 111 147 201 259 333 441 469 603 777 1407 1813 2331 2479 3283 4221 5439 7437 9849 16317 17353 22311 29547 52059 121471 156177 364413 1093239 9160519 27481557 64123633 82444671 192370899 338939203 448865431 577112697 613754773 1016817609 1346596293 1841264319 2372574421 3050452827 4039788879 4296283411 5523792957 7117723263 12888850233 16608020947 21353169789 22708926601 30073983877 38666550699 49824062841 68126779803 90221951631 149472188523 158962486207 204380339409 270665854893 476887458621 1112737403449 1430662375863 3338212210347 10014636631041