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132400010424312 = 23328835197400721
BaseRepresentation
bin11110000110101011000111…
…100101101110111111111000
3122100210022120101001010012100
4132012223013211232333320
5114323220210132034222
61145331420342343400
736613404453545241
oct3606530745567770
9570708511033170
10132400010424312
1139206590250344
1212a2401372ab60
1358b5362667607
14249a2a2365cc8
151049064d2d4ac
hex786ac796eff8

132400010424312 has 96 divisors (see below), whose sum is σ = 359059430555280. Its totient is φ = 44074763228160.

The previous prime is 132400010424299. The next prime is 132400010424343. The reversal of 132400010424312 is 213424010004231.

132400010424312 is a `hidden beast` number, since 1 + 3 + 2 + 400 + 0 + 1 + 0 + 4 + 243 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330204112 + ... + 330604832.

Almost surely, 2132400010424312 is an apocalyptic number.

132400010424312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132400010424312 is an abundant number, since it is smaller than the sum of its proper divisors (226659420130968).

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

132400010424312 is a wasteful number, since it uses less digits than its factorization.

132400010424312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406813 (or 406806 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 132400010424312 its reverse (213424010004231), we get a palindrome (345824020428543).

The spelling of 132400010424312 in words is "one hundred thirty-two trillion, four hundred billion, ten million, four hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 883 1766 2649 3532 5197 5298 7064 7947 10394 10596 15591 15894 20788 21192 31182 31788 41576 46773 62364 63576 93546 124728 187092 374184 400721 801442 1202163 1602884 2404326 3205768 3606489 4588951 4808652 7212978 9177902 9617304 13766853 14425956 18355804 27533706 28851912 36711608 41300559 55067412 82601118 110134824 165202236 330404472 353836643 707673286 1061509929 1415346572 2082547037 2123019858 2830693144 3184529787 4165094074 4246039716 6247641111 6369059574 8330188148 8492079432 12495282222 12738119148 16660376296 18742923333 24990564444 25476238296 37485846666 49981128888 74971693332 149943386664 1838889033671 3677778067342 5516667101013 7355556134684 11033334202026 14711112269368 16550001303039 22066668404052 33100002606078 44133336808104 66200005212156 132400010424312