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1041054141006 = 2331123163746549
BaseRepresentation
bin11110010011000111010…
…10011000101001001110
310200112010212000212121000
433021203222120221032
5114024034330003011
62114130443121130
7135133202123145
oct17114352305116
93615125025530
101041054141006
11371565a16750
1214991ab131a6
137722b863479
143855ca1675c
151c130a76356
hexf263a98a4e

1041054141006 has 128 divisors (see below), whose sum is σ = 2635161984000. Its totient is φ = 301564010880.

The previous prime is 1041054140993. The next prime is 1041054141007. The reversal of 1041054141006 is 6001414501401.

1041054141006 is a `hidden beast` number, since 1 + 0 + 4 + 10 + 541 + 4 + 100 + 6 = 666.

1041054141006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041054141007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22341420 + ... + 22387968.

It is an arithmetic number, because the mean of its divisors is an integer number (20587203000).

Almost surely, 21041054141006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041054141006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317580992000).

1041054141006 is an abundant number, since it is smaller than the sum of its proper divisors (1594107842994).

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

1041054141006 is a wasteful number, since it uses less digits than its factorization.

1041054141006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48231 (or 48225 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 1041054141006 its reverse (6001414501401), we get a palindrome (7042468642407).

The spelling of 1041054141006 in words is "one trillion, forty-one billion, fifty-four million, one hundred forty-one thousand, six".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 1242 1518 1637 2277 3274 4554 4911 6831 9822 13662 14733 18007 29466 36014 37651 44199 46549 54021 75302 88398 93098 108042 112953 139647 162063 225906 279294 324126 338859 414161 418941 486189 512039 677718 828322 837882 972378 1016577 1024078 1070627 1242483 1256823 1536117 2033154 2141254 2484966 2513646 3072234 3211881 3727449 4608351 6423762 7454898 9216702 9635643 11182347 11776897 13825053 19271286 22364694 23553794 27650106 28906929 35330691 57813858 70661382 76200713 105992073 152401426 211984146 228602139 317976219 457204278 635952438 685806417 838207843 1371612834 1676415686 1752616399 2057419251 2514623529 3505232798 4114838502 5029247058 5257849197 7543870587 10515698394 15087741174 15773547591 19278780389 22631611761 31547095182 38557560778 45263223522 47320642773 57836341167 94641285546 115672682334 173509023501 347018047002 520527070503 1041054141006