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1144130204040 = 2335192321817891
BaseRepresentation
bin10000101001100011011…
…110010111000110001000
311001101012101211102001020
4100221203132113012020
5122221134313012130
62233334532552440
7145442420162355
oct20514336270610
94041171742036
101144130204040
1140124a7444aa
121658a6a82720
1383b77739845
143d53a3dd62c
151eb64d7be10
hex10a63797188

1144130204040 has 128 divisors (see below), whose sum is σ = 3770131737600. Its totient is φ = 276476302080.

The previous prime is 1144130203991. The next prime is 1144130204051. The reversal of 1144130204040 is 404020314411.

It is a super-2 number, since 2×11441302040402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1144130204040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10856506 + ... + 10961385.

It is an arithmetic number, because the mean of its divisors is an integer number (29454154200).

Almost surely, 21144130204040 is an apocalyptic number.

1144130204040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144130204040 is an abundant number, since it is smaller than the sum of its proper divisors (2626001533560).

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

1144130204040 is a wasteful number, since it uses less digits than its factorization.

1144130204040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21817947 (or 21817943 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1144130204040 its reverse (404020314411), we get a palindrome (1548150518451).

The spelling of 1144130204040 in words is "one trillion, one hundred forty-four billion, one hundred thirty million, two hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 23 24 30 38 40 46 57 60 69 76 92 95 114 115 120 138 152 184 190 228 230 276 285 345 380 437 456 460 552 570 690 760 874 920 1140 1311 1380 1748 2185 2280 2622 2760 3496 4370 5244 6555 8740 10488 13110 17480 26220 52440 21817891 43635782 65453673 87271564 109089455 130907346 174543128 218178910 261814692 327268365 414539929 436357820 501811493 523629384 654536730 829079858 872715640 1003622986 1243619787 1309073460 1505434479 1658159716 2007245972 2072699645 2487239574 2509057465 2618146920 3010868958 3316319432 4014491944 4145399290 4974479148 5018114930 6021737916 6218098935 7527172395 8290798580 9534418367 9948958296 10036229860 12043475832 12436197870 15054344790 16581597160 19068836734 20072459720 24872395740 28603255101 30108689580 38137673468 47672091835 49744791480 57206510202 60217379160 76275346936 95344183670 114413020404 143016275505 190688367340 228826040808 286032551010 381376734680 572065102020 1144130204040