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1141044110040 = 2335192321759041
BaseRepresentation
bin10000100110101011100…
…001110110001011011000
311001002020022210120221110
4100212223201312023120
5122143324243010130
62232104411140320
7145303064622642
oct20465341661330
94032208716843
101141044110040
113aaa0672039a
121651854446a0
13837a5270213
143d3265c5892
151ea33e7dab0
hex109ab8762d8

1141044110040 has 128 divisors (see below), whose sum is σ = 3759962457600. Its totient is φ = 275730554880.

The previous prime is 1141044110033. The next prime is 1141044110057. The reversal of 1141044110040 is 400114401411.

It is a super-2 number, since 2×11410441100402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1141044109989 and 1141044110016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10827081 + ... + 10931960.

It is an arithmetic number, because the mean of its divisors is an integer number (29374706700).

Almost surely, 21141044110040 is an apocalyptic number.

1141044110040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141044110040 is an abundant number, since it is smaller than the sum of its proper divisors (2618918347560).

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

1141044110040 is a wasteful number, since it uses less digits than its factorization.

1141044110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21759097 (or 21759093 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 1141044110040 its reverse (400114401411), we get a palindrome (1541158511451).

The spelling of 1141044110040 in words is "one trillion, one hundred forty-one billion, forty-four million, one hundred ten 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 21759041 43518082 65277123 87036164 108795205 130554246 174072328 217590410 261108492 326385615 413421779 435180820 500457943 522216984 652771230 826843558 870361640 1000915886 1240265337 1305542460 1501373829 1653687116 2001831772 2067108895 2480530674 2502289715 2611084920 3002747658 3307374232 4003663544 4134217790 4961061348 5004579430 6005495316 6201326685 7506869145 8268435580 9508700917 9922122696 10009158860 12010990632 12402653370 15013738290 16536871160 19017401834 20018317720 24805306740 28526102751 30027476580 38034803668 47543504585 49610613480 57052205502 60054953160 76069607336 95087009170 114104411004 142630513755 190174018340 228208822008 285261027510 380348036680 570522055020 1141044110040