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11411400433040 = 2453716723085047
BaseRepresentation
bin1010011000001110110001…
…1110000001110110010000
31111101220211010011001101222
42212003230132001312100
52443431022002324130
640134154110344212
72255306066154416
oct246035436016620
944356733131358
1011411400433040
1136aa6030603a3
121343732abb068
1364a12392045a
142b64598832b6
1514bc83d8dce5
hexa60ec781d90

11411400433040 has 80 divisors (see below), whose sum is σ = 27411740036352. Its totient is φ = 4414599516672.

The previous prime is 11411400433039. The next prime is 11411400433057. The reversal of 11411400433040 is 4033400411411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 11048204 + ... + 12036843.

Almost surely, 211411400433040 is an apocalyptic number.

11411400433040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11411400433040 is an abundant number, since it is smaller than the sum of its proper divisors (16000339603312).

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

11411400433040 is a wasteful number, since it uses less digits than its factorization.

11411400433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23085264 (or 23085258 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 11411400433040 its reverse (4033400411411), we get a palindrome (15444800844451).

The spelling of 11411400433040 in words is "eleven trillion, four hundred eleven billion, four hundred million, four hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 167 185 296 334 370 592 668 740 835 1336 1480 1670 2672 2960 3340 6179 6680 12358 13360 24716 30895 49432 61790 98864 123580 247160 494320 23085047 46170094 92340188 115425235 184680376 230850470 369360752 461700940 854146739 923401880 1708293478 1846803760 3416586956 3855202849 4270733695 6833173912 7710405698 8541467390 13666347824 15420811396 17082934780 19276014245 30841622792 34165869560 38552028490 61683245584 68331739120 77104056980 142642505413 154208113960 285285010826 308416227920 570570021652 713212527065 1141140043304 1426425054130 2282280086608 2852850108260 5705700216520 11411400433040