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132121314403344 = 24327191686244673
BaseRepresentation
bin11110000010100111100100…
…000000110010010000010000
3122022210200012120022100122200
4132002213210000302100100
5114304133422441401334
61144555405515403200
736554310223501620
oct3602474400622020
9568720176270580
10132121314403344
1139109375648892
1212999bb4a53500
135894ca9412776
14248a9c4784880
151041ba2b14799
hex7829e4032410

132121314403344 has 120 divisors (see below), whose sum is σ = 424790943163392. Its totient is φ = 37551308451840.

The previous prime is 132121314403327. The next prime is 132121314403453. The reversal of 132121314403344 is 443304413121231.

132121314403344 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 1 + 314 + 4 + 0 + 334 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132121314403299 and 132121314403308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342929809 + ... + 343314864.

Almost surely, 2132121314403344 is an apocalyptic number.

132121314403344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132121314403344 is an abundant number, since it is smaller than the sum of its proper divisors (292669628760048).

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

132121314403344 is a wasteful number, since it uses less digits than its factorization.

132121314403344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686244885 (or 686244876 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 132121314403344 its reverse (443304413121231), we get a palindrome (575425727524575).

The spelling of 132121314403344 in words is "one hundred thirty-two trillion, one hundred twenty-one billion, three hundred fourteen million, four hundred three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 191 252 336 382 504 573 764 1008 1146 1337 1528 1719 2292 2674 3056 3438 4011 4584 5348 6876 8022 9168 10696 12033 13752 16044 21392 24066 27504 32088 48132 64176 96264 192528 686244673 1372489346 2058734019 2744978692 4117468038 4803712711 5489957384 6176202057 8234936076 9607425422 10979914768 12352404114 14411138133 16469872152 19214850844 24704808228 28822276266 32939744304 38429701688 43233414399 49409616456 57644552532 76859403376 86466828798 98819232912 115289105064 131072732543 172933657596 230578210128 262145465086 345867315192 393218197629 524290930172 691734630384 786436395258 917509127801 1048581860344 1179654592887 1572872790516 1835018255602 2097163720688 2359309185774 2752527383403 3145745581032 3670036511204 4718618371548 5505054766806 6291491162064 7340073022408 8257582150209 9437236743096 11010109533612 14680146044816 16515164300418 18874473486192 22020219067224 33030328600836 44040438134448 66060657201672 132121314403344