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1141133243040 = 253257113207663
BaseRepresentation
bin10000100110110000110…
…101110111001010100000
311001002110112112000102200
4100212300311313022200
5122144020102234130
62232121313413200
7145305226344630
oct20466065671240
94032415460380
101141133243040
113aaa51a6a32a
121651ab26a200
13837ba87a63b
143d3343886c0
151ea3bbd8760
hex109b0d772a0

1141133243040 has 144 divisors (see below), whose sum is σ = 4450419687168. Its totient is φ = 260830453248.

The previous prime is 1141133242939. The next prime is 1141133243051. The reversal of 1141133243040 is 403423311411.

1141133243040 is a `hidden beast` number, since 1 + 1 + 411 + 3 + 3 + 243 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1141133242995 and 1141133243013.

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, 56593752 + ... + 56613911.

It is an arithmetic number, because the mean of its divisors is an integer number (30905692272).

Almost surely, 21141133243040 is an apocalyptic number.

1141133243040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141133243040 is an abundant number, since it is smaller than the sum of its proper divisors (3309286444128).

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

1141133243040 is a wasteful number, since it uses less digits than its factorization.

1141133243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113207691 (or 113207680 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1141133243040 its reverse (403423311411), we get a palindrome (1544556554451).

The spelling of 1141133243040 in words is "one trillion, one hundred forty-one billion, one hundred thirty-three million, two hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 113207663 226415326 339622989 452830652 566038315 679245978 792453641 905661304 1018868967 1132076630 1358491956 1584907282 1698114945 1811322608 2037737934 2264153260 2377360923 2716983912 3169814564 3396229890 3622645216 3962268205 4075475868 4528306520 4754721846 5094344835 5433967824 6339629128 6792459780 7132082769 7924536410 8150951736 9056613040 9509443692 10188689670 10867935648 11886804615 12679258256 13584919560 14264165538 15849072820 16301903472 18113226080 19018887384 20377379340 23773609230 25358516512 27169839120 28528331076 31698145640 32603806944 35660413845 38037774768 40754758680 47547218460 54339678240 57056662152 63396291280 71320827690 76075549536 81509517360 95094436920 114113324304 126792582560 142641655380 163019034720 190188873840 228226648608 285283310760 380377747680 570566621520 1141133243040