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13234132043040 = 2535191144351353
BaseRepresentation
bin1100000010010100111110…
…1111010100010100100000
31201212011121102020122121010
43000211033233110110200
53213312000300334130
644051402030500520
72534064062211066
oct300451757242440
951764542218533
1013234132043040
114242622586027
121598a44064740
1374cc8644375c
1433a76d238036
1517e3b438e0b0
hexc094fbd4520

13234132043040 has 96 divisors (see below), whose sum is σ = 41905775471616. Its totient is φ = 3510624880640.

The previous prime is 13234132043003. The next prime is 13234132043063. The reversal of 13234132043040 is 4034023143231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 13234132042989 and 13234132043007.

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, 72083997 + ... + 72267356.

It is an arithmetic number, because the mean of its divisors is an integer number (436518494496).

Almost surely, 213234132043040 is an apocalyptic number.

13234132043040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13234132043040 is an abundant number, since it is smaller than the sum of its proper divisors (28671643428576).

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

13234132043040 is a wasteful number, since it uses less digits than its factorization.

13234132043040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144351562 (or 144351554 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 13234132043040 its reverse (4034023143231), we get a palindrome (17268155186271).

The spelling of 13234132043040 in words is "thirteen trillion, two hundred thirty-four billion, one hundred thirty-two million, forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 191 240 382 480 573 764 955 1146 1528 1910 2292 2865 3056 3820 4584 5730 6112 7640 9168 11460 15280 18336 22920 30560 45840 91680 144351353 288702706 433054059 577405412 721756765 866108118 1154810824 1443513530 1732216236 2165270295 2309621648 2887027060 3464432472 4330540590 4619243296 5774054120 6928864944 8661081180 11548108240 13857729888 17322162360 23096216480 27571108423 34644324720 55142216846 69288649440 82713325269 110284433692 137855542115 165426650538 220568867384 275711084230 330853301076 413566626345 441137734768 551422168460 661706602152 827133252690 882275469536 1102844336920 1323413204304 1654266505380 2205688673840 2646826408608 3308533010760 4411377347680 6617066021520 13234132043040