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12404104024032 = 2532731198478367
BaseRepresentation
bin1011010010000000111000…
…1101101100111111100000
31121220211011100002111101100
42310200032031230333200
53111212101112232112
642214211113434400
72420111155362120
oct264401615547740
947824140074340
1012404104024032
113a526073901a6
121483bb940ba00
136bc9183718c6
1430c50cc52c80
151679d4c8b2dc
hexb480e36cfe0

12404104024032 has 144 divisors (see below), whose sum is σ = 41613768548352. Its totient is φ = 3429706164480.

The previous prime is 12404104024031. The next prime is 12404104024033. The reversal of 12404104024032 is 23042040140421.

12404104024032 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 410 + 4 + 0 + 240 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12404104024031) and next prime (12404104024033).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 12404104023987 and 12404104024005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12404104024031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99176688 + ... + 99301679.

It is an arithmetic number, because the mean of its divisors is an integer number (288984503808).

Almost surely, 212404104024032 is an apocalyptic number.

12404104024032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12404104024032 is an abundant number, since it is smaller than the sum of its proper divisors (29209664524320).

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

12404104024032 is a wasteful number, since it uses less digits than its factorization.

12404104024032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198478421 (or 198478410 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12404104024032 its reverse (23042040140421), we get a palindrome (35446144164453).

The spelling of 12404104024032 in words is "twelve trillion, four hundred four billion, one hundred four million, twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 93 96 112 124 126 144 168 186 217 224 248 252 279 288 336 372 434 496 504 558 651 672 744 868 992 1008 1116 1302 1488 1736 1953 2016 2232 2604 2976 3472 3906 4464 5208 6944 7812 8928 10416 15624 20832 31248 62496 198478367 396956734 595435101 793913468 1190870202 1389348569 1587826936 1786305303 2381740404 2778697138 3175653872 3572610606 4168045707 4763480808 5557394276 6152829377 6351307744 7145221212 8336091414 9526961616 11114788552 12305658754 12504137121 14290442424 16672182828 18458488131 19053923232 22229577104 24611317508 25008274242 28580884848 33344365656 36916976262 43069805639 44459154208 49222635016 50016548484 55375464393 57161769696 66688731312 73833952524 86139611278 98445270032 100033096968 110750928786 129209416917 133377462624 147667905048 172279222556 196890540064 200066193936 221501857572 258418833834 295335810096 344558445112 387628250751 400132387872 443003715144 516837667668 590671620192 689116890224 775256501502 886007430288 1033675335336 1378233780448 1550513003004 1772014860576 2067350670672 3101026006008 4134701341344 6202052012016 12404104024032