Search a number
-
+
13110441404340 = 2235725975581929
BaseRepresentation
bin1011111011001000001100…
…1100111110011110110100
31201102100100012111011120110
42332302003030332132310
53204300140444414330
643514504215103020
72522124650141100
oct276620314763664
951370305434513
1013110441404340
1141a511a425485
121578a84371a70
13741403762707
14334797aaa900
1517b0753c0db0
hexbec8333e7b4

13110441404340 has 144 divisors (see below), whose sum is σ = 43426353700800. Its totient is φ = 2945881225728.

The previous prime is 13110441404329. The next prime is 13110441404381. The reversal of 13110441404340 is 4340414401131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13110441404298 and 13110441404307.

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, 37617505 + ... + 37964424.

It is an arithmetic number, because the mean of its divisors is an integer number (301571900700).

Almost surely, 213110441404340 is an apocalyptic number.

13110441404340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110441404340 is an abundant number, since it is smaller than the sum of its proper divisors (30315912296460).

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

13110441404340 is a wasteful number, since it uses less digits than its factorization.

13110441404340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75582014 (or 75582005 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 13110441404340 its reverse (4340414401131), we get a palindrome (17450855805471).

The spelling of 13110441404340 in words is "thirteen trillion, one hundred ten billion, four hundred forty-one million, four hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 59 60 70 84 98 105 118 140 147 177 196 210 236 245 294 295 354 413 420 490 588 590 708 735 826 885 980 1180 1239 1470 1652 1770 2065 2478 2891 2940 3540 4130 4956 5782 6195 8260 8673 11564 12390 14455 17346 24780 28910 34692 43365 57820 86730 173460 75581929 151163858 226745787 302327716 377909645 453491574 529073503 755819290 906983148 1058147006 1133728935 1511638580 1587220509 2116294012 2267457870 2645367515 3174441018 3703514521 4459333811 4534915740 5290735030 6348882036 7407029042 7936102545 8918667622 10581470060 11110543563 13378001433 14814058084 15872205090 17837335244 18517572605 22221087126 22296669055 26756002866 31215336677 31744410180 37035145210 44442174252 44593338110 53512005732 55552717815 62430673354 66890007165 74070290420 89186676220 93646010031 111105435630 124861346708 133780014330 156076683385 187292020062 218507356739 222210871260 267560028660 312153366770 374584040124 437014713478 468230050155 624306733540 655522070217 874029426956 936460100310 1092536783695 1311044140434 1872920200620 2185073567390 2622088280868 3277610351085 4370147134780 6555220702170 13110441404340