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11300412014040 = 23352337110658167
BaseRepresentation
bin1010010001110001010100…
…0010110011110111011000
31111000022100010212012001210
42210130111002303313120
52440121220433422130
640011200531343120
72244266513156052
oct244342502636730
944008303765053
1011300412014040
113667528a87486
121326119151aa0
1363c81670c746
142b0d2b2c88d2
15148e3a1015b0
hexa47150b3dd8

11300412014040 has 128 divisors (see below), whose sum is σ = 36331289717760. Its totient is φ = 2804520559104.

The previous prime is 11300412014033. The next prime is 11300412014093. The reversal of 11300412014040 is 4041021400311.

It is a junction number, because it is equal to n+sod(n) for n = 11300412013998 and 11300412014016.

It is a congruent number.

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, 55226964 + ... + 55431203.

It is an arithmetic number, because the mean of its divisors is an integer number (283838200920).

Almost surely, 211300412014040 is an apocalyptic number.

11300412014040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11300412014040 is an abundant number, since it is smaller than the sum of its proper divisors (25030877703720).

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

11300412014040 is a wasteful number, since it uses less digits than its factorization.

11300412014040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110658241 (or 110658237 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11300412014040 its reverse (4041021400311), we get a palindrome (15341433414351).

The spelling of 11300412014040 in words is "eleven trillion, three hundred billion, four hundred twelve million, fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 37 40 46 60 69 74 92 111 115 120 138 148 184 185 222 230 276 296 345 370 444 460 552 555 690 740 851 888 920 1110 1380 1480 1702 2220 2553 2760 3404 4255 4440 5106 6808 8510 10212 12765 17020 20424 25530 34040 51060 102120 110658167 221316334 331974501 442632668 553290835 663949002 885265336 1106581670 1327898004 1659872505 2213163340 2545137841 2655796008 3319745010 4094352179 4426326680 5090275682 6639490020 7635413523 8188704358 10180551364 12283056537 12725689205 13278980040 15270827046 16377408716 20361102728 20471760895 24566113074 25451378410 30541654092 32754817432 38177067615 40943521790 49132226148 50902756820 61083308184 61415282685 76354135230 81887043580 94170100117 98264452296 101805513640 122830565370 152708270460 163774087160 188340200234 245661130740 282510300351 305416540920 376680400468 470850500585 491322261480 565020600702 753360800936 941701001170 1130041201404 1412551501755 1883402002340 2260082402808 2825103003510 3766804004680 5650206007020 11300412014040