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11142451441044 = 223271119872022971
BaseRepresentation
bin1010001000100100110111…
…0111000010110110010100
31110110012121121011122222100
42202021031313002312110
52430024220032103134
635410434352202100
72230005222355140
oct242111567026624
943405547148870
1011142451441044
11360653a39aa90
1212bb594539330
1362a961b42c81
142a74245b4220
15144c92713999
hexa224ddc2d94

11142451441044 has 144 divisors (see below), whose sum is σ = 35133294583296. Its totient is φ = 2892685262400.

The previous prime is 11142451440983. The next prime is 11142451441081. The reversal of 11142451441044 is 44014415424111.

It is a happy number.

11142451441044 is a `hidden beast` number, since 1 + 1 + 14 + 24 + 514 + 4 + 104 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4496479 + ... + 6519449.

It is an arithmetic number, because the mean of its divisors is an integer number (243981212384).

Almost surely, 211142451441044 is an apocalyptic number.

11142451441044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11142451441044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17566647291648).

11142451441044 is an abundant number, since it is smaller than the sum of its proper divisors (23990843142252).

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

11142451441044 is a wasteful number, since it uses less digits than its factorization.

11142451441044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024986 (or 2024981 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

Adding to 11142451441044 its reverse (44014415424111), we get a palindrome (55156866865155).

The spelling of 11142451441044 in words is "eleven trillion, one hundred forty-two billion, four hundred fifty-one million, four hundred forty-one thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 1987 2772 3974 5961 7948 11922 13909 17883 21857 23844 27818 35766 41727 43714 55636 65571 71532 83454 87428 125181 131142 152999 166908 196713 250362 262284 305998 393426 458997 500724 611996 786852 917994 1376991 1835988 2022971 2753982 4045942 5507964 6068913 8091884 12137826 14160797 18206739 22252681 24275652 28321594 36413478 42482391 44505362 56643188 66758043 72826956 84964782 89010724 127447173 133516086 155768767 169929564 200274129 254894346 267032172 311537534 400548258 467306301 509788692 623075068 801096516 934612602 1401918903 1869225204 2803837806 4019643377 5607675612 8039286754 12058930131 16078573508 24117860262 28137503639 36176790393 44216077147 48235720524 56275007278 72353580786 84412510917 88432154294 112550014556 132648231441 144707161572 168825021834 176864308588 253237532751 265296462882 309512540029 337650043668 397944694323 506475065502 530592925764 619025080058 795889388646 928537620087 1012950131004 1238050160116 1591778777292 1857075240174 2785612860261 3714150480348 5571225720522 11142451441044