Search a number
-
+
11142002400032 = 257587606713967
BaseRepresentation
bin1010001000100011001100…
…0110000101101100100000
31110110011110022020000111202
42202020303012011230200
52430022310103300112
635410322031500332
72226661130521520
oct242106306055440
943404408200452
1011142002400032
113606329979909
1212bb48a0876a8
1362a8bcac092a
142a73c0ac5680
15144c680b46c2
hexa2233185b20

11142002400032 has 96 divisors (see below), whose sum is σ = 25118150658048. Its totient is φ = 4765882081536.

The previous prime is 11142002399921. The next prime is 11142002400073. The reversal of 11142002400032 is 23000420024111.

It is a junction number, because it is equal to n+sod(n) for n = 11142002399977 and 11142002400013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797730713 + ... + 797744679.

It is an arithmetic number, because the mean of its divisors is an integer number (261647402688).

Almost surely, 211142002400032 is an apocalyptic number.

It is an amenable number.

11142002400032 is an abundant number, since it is smaller than the sum of its proper divisors (13976148258016).

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

11142002400032 is a wasteful number, since it uses less digits than its factorization.

11142002400032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20638 (or 20630 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11142002400032 its reverse (23000420024111), we get a palindrome (34142422424143).

The spelling of 11142002400032 in words is "eleven trillion, one hundred forty-two billion, two million, four hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 587 1174 2348 4109 4696 6067 8218 9392 12134 13967 16436 18784 24268 27934 32872 42469 48536 55868 65744 84938 97072 97769 111736 131488 169876 194144 195538 223472 339752 391076 446944 679504 782152 1359008 1564304 3128608 3561329 7122658 8198629 14245316 16397258 24929303 28490632 32794516 49858606 56981264 57390403 65589032 84737789 99717212 113962528 114780806 131178064 169475578 199434424 229561612 262356128 338951156 398868848 459123224 593164523 677902312 797737696 918246448 1186329046 1355804624 1836492896 2372658092 2711609248 4745316184 9490632368 18981264736 49741082143 99482164286 198964328572 348187575001 397928657144 696375150002 795857314288 1392750300004 1591714628576 2785500600008 5571001200016 11142002400032