Search a number
-
+
1104120423144 = 2332193313253853
BaseRepresentation
bin10000000100010010101…
…101001010001011101000
310220112221001100221200100
4100010102231022023220
5121042214312020034
62203120444305400
7142525063514004
oct20042255121350
93815831327610
101104120423144
11396289215982
12159b9b842260
138016c64138b
143b622807704
151dac25b2099
hex10112b4a2e8

1104120423144 has 96 divisors (see below), whose sum is σ = 3015435201480. Its totient is φ = 364962004992.

The previous prime is 1104120423127. The next prime is 1104120423163. The reversal of 1104120423144 is 4413240214011.

1104120423144 is a `hidden beast` number, since 1 + 10 + 412 + 0 + 4 + 231 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 779035716900 + 325084706244 = 882630^2 + 570162^2 .

It is a super-2 number, since 2×11041204231442 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4222522 + ... + 4476374.

Almost surely, 21104120423144 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 1104120423144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507717600740).

1104120423144 is an abundant number, since it is smaller than the sum of its proper divisors (1911314778336).

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

1104120423144 is a wasteful number, since it uses less digits than its factorization.

1104120423144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254371 (or 254364 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1104120423144 its reverse (4413240214011), we get a palindrome (5517360637155).

The spelling of 1104120423144 in words is "one trillion, one hundred four billion, one hundred twenty million, four hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 313 386 579 626 772 939 1158 1252 1544 1737 1878 2316 2504 2817 3474 3756 4632 5634 6948 7512 11268 13896 22536 60409 120818 181227 241636 253853 362454 483272 507706 543681 724908 761559 1015412 1087362 1449816 1523118 2030824 2174724 2284677 3046236 4349448 4569354 6092472 9138708 18277416 48993629 79455989 97987258 146980887 158911978 195974516 238367967 293961774 317823956 391949032 440942661 476735934 587923548 635647912 715103901 881885322 953471868 1175847096 1430207802 1763770644 1906943736 2860415604 3527541288 5720831208 15335005877 30670011754 46005017631 61340023508 92010035262 122680047016 138015052893 184020070524 276030105786 368040141048 552060211572 1104120423144