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11314524056640 = 263571683708937
BaseRepresentation
bin1010010010100101111000…
…1011111110110001000000
31111001122202122011020012020
42210221132023332301000
52440334121124303030
640021453125401440
72245306311434310
oct244513613766100
944048678136166
1011314524056640
11367250a951a02
1213289b7269280
13640c552ba5cc
142b18a9609440
151494b3eb7510
hexa4a5e2fec40

11314524056640 has 112 divisors (see below), whose sum is σ = 41055558744192. Its totient is φ = 2586176925696.

The previous prime is 11314524056611. The next prime is 11314524056653. The reversal of 11314524056640 is 4665042541311.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 11314524056592 and 11314524056601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 841847749 + ... + 841861188.

Almost surely, 211314524056640 is an apocalyptic number.

11314524056640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11314524056640 is an abundant number, since it is smaller than the sum of its proper divisors (29741034687552).

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

11314524056640 is a wasteful number, since it uses less digits than its factorization.

11314524056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683708964 (or 1683708954 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

Adding to 11314524056640 its reverse (4665042541311), we get a palindrome (15979566597951).

The spelling of 11314524056640 in words is "eleven trillion, three hundred fourteen billion, five hundred twenty-four million, fifty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 1683708937 3367417874 5051126811 6734835748 8418544685 10102253622 11785962559 13469671496 16837089370 20204507244 23571925118 25255634055 26939342992 33674178740 35357887677 40409014488 47143850236 50511268110 53878685984 58929812795 67348357480 70715775354 80818028976 94287700472 101022536220 107757371968 117859625590 134696714960 141431550708 161636057952 176789438385 188575400944 202045072440 235719251180 269393429920 282863101416 323272115904 353578876770 377150801888 404090144880 471438502360 538786859840 565726202832 707157753540 754301603776 808180289760 942877004720 1131452405664 1414315507080 1616360579520 1885754009440 2262904811328 2828631014160 3771508018880 5657262028320 11314524056640