Search a number
-
+
11432211223440 = 243576804887633
BaseRepresentation
bin1010011001011100010011…
…1000111001001110010000
31111110220112110022201222210
42212113010320321032100
52444301132033122230
640151515122032120
72256643565025630
oct246270470711620
944426473281883
1011432211223440
113708412220227
1213477804a8640
1364c08c288507
142b74717026c0
1514c5a0db3eb0
hexa65c4e39390

11432211223440 has 80 divisors (see below), whose sum is σ = 40502691197568. Its totient is φ = 2613076850688.

The previous prime is 11432211223439. The next prime is 11432211223549. The reversal of 11432211223440 is 4432211223411.

It is a happy number.

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

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 = 11432211223398 and 11432211223407.

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, 3402442137 + ... + 3402445496.

Almost surely, 211432211223440 is an apocalyptic number.

11432211223440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11432211223440 is an abundant number, since it is smaller than the sum of its proper divisors (29070479974128).

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

11432211223440 is a wasteful number, since it uses less digits than its factorization.

11432211223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6804887656 (or 6804887650 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 11432211223440 its reverse (4432211223411), we get a palindrome (15864422446851).

The spelling of 11432211223440 in words is "eleven trillion, four hundred thirty-two billion, two hundred eleven million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 6804887633 13609775266 20414662899 27219550532 34024438165 40829325798 47634213431 54439101064 68048876330 81658651596 95268426862 102073314495 108878202128 136097752660 142902640293 163317303192 190536853724 204146628990 238171067155 272195505320 285805280586 326634606384 381073707448 408293257980 476342134310 544391010640 571610561172 714513201465 762147414896 816586515960 952684268620 1143221122344 1429026402930 1633173031920 1905368537240 2286442244688 2858052805860 3810737074480 5716105611720 11432211223440