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1041444031140 = 2232553911119831
BaseRepresentation
bin11110010011110101110…
…01101100101010100100
310200120011000200100022100
433021322321230222210
5114030334132444030
62114233251532100
7135145645130112
oct17117271545244
93616130610270
101041444031140
113717460069a7
12149a095ba030
13772915751a6
1438598708ab2
151c154dde360
hexf27ae6caa4

1041444031140 has 144 divisors (see below), whose sum is σ = 3222211539456. Its totient is φ = 272177068800.

The previous prime is 1041444031129. The next prime is 1041444031213. The reversal of 1041444031140 is 411304441401.

1041444031140 is a `hidden beast` number, since 1 + 0 + 4 + 144 + 403 + 114 + 0 = 666.

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, 8631025 + ... + 8750855.

It is an arithmetic number, because the mean of its divisors is an integer number (22376469024).

Almost surely, 21041444031140 is an apocalyptic number.

1041444031140 is a gapful number since it is divisible by the number (10) 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 1041444031140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611105769728).

1041444031140 is an abundant number, since it is smaller than the sum of its proper divisors (2180767508316).

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

1041444031140 is a wasteful number, since it uses less digits than its factorization.

1041444031140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120810 (or 120805 counting only the distinct ones).

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

Adding to 1041444031140 its reverse (411304441401), we get a palindrome (1452748472541).

The spelling of 1041444031140 in words is "one trillion, forty-one billion, four hundred forty-four million, thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 911 954 1060 1590 1822 1908 2385 2733 3180 3644 4555 4770 5466 8199 9110 9540 10932 13665 16398 18220 27330 32796 40995 48283 54660 81990 96566 119831 144849 163980 193132 239662 241415 289698 359493 434547 479324 482830 579396 599155 718986 724245 869094 965660 1078479 1198310 1437972 1448490 1738188 1797465 2156958 2172735 2396620 2896980 3594930 4313916 4345470 5392395 6351043 7189860 8690940 10784790 12702086 19053129 21569580 25404172 31755215 38106258 57159387 63510430 76212516 95265645 109166041 114318774 127020860 190531290 218332082 228637548 285796935 327498123 381062580 436664164 545830205 571593870 654996246 982494369 1091660410 1143187740 1309992492 1637490615 1964988738 2183320820 3274981230 3929977476 4912471845 5785800173 6549962460 9824943690 11571600346 17357400519 19649887380 23143200692 28929000865 34714801038 52072201557 57858001730 69429602076 86787002595 104144403114 115716003460 173574005190 208288806228 260361007785 347148010380 520722015570 1041444031140