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1340241213132 = 2232671997693631
BaseRepresentation
bin10011100000001100100…
…110011111011011001100
311202010101201021212221100
4103200030212133123030
5133424303222310012
62503410500303100
7165554266226433
oct23401446373314
94663351255840
101340241213132
11477436252228
121978b80a1a90
13994cc133a63
1448c21bc611a
1524ce1ba78dc
hex1380c99f6cc

1340241213132 has 144 divisors (see below), whose sum is σ = 3461121664000. Its totient is φ = 437177917440.

The previous prime is 1340241213119. The next prime is 1340241213197. The reversal of 1340241213132 is 2313121420431.

1340241213132 is a `hidden beast` number, since 1 + 3 + 402 + 4 + 121 + 3 + 132 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1340241213096 and 1340241213105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369108957 + ... + 369112587.

Almost surely, 21340241213132 is an apocalyptic number.

1340241213132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340241213132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730560832000).

1340241213132 is an abundant number, since it is smaller than the sum of its proper divisors (2120880450868).

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

1340241213132 is a wasteful number, since it uses less digits than its factorization.

1340241213132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1340241213132 its reverse (2313121420431), we get a palindrome (3653362633563).

The spelling of 1340241213132 in words is "one trillion, three hundred forty billion, two hundred forty-one million, two hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 199 201 268 398 402 597 603 769 796 804 1194 1206 1538 1791 2307 2388 2412 3076 3582 3631 4614 6921 7164 7262 9228 10893 13333 13842 14524 21786 26666 27684 32679 39999 43572 51523 53332 65358 79998 103046 119997 130716 153031 154569 159996 206092 239994 243277 306062 309138 459093 463707 479988 486554 612124 618276 722569 729831 918186 927414 973108 1377279 1445138 1459662 1836372 1854828 2167707 2189493 2754558 2792239 2890276 2919324 4335414 4378986 5509116 5584478 6503121 8376717 8670828 8757972 10253077 11168956 13006242 16753434 20506154 25130151 26012484 30759231 33506868 41012308 48412123 50260302 61518462 92277693 96824246 100520604 123036924 145236369 184555386 187080013 193648492 290472738 369110772 374160026 435709107 555655561 561240039 580945476 748320052 871418214 1111311122 1122480078 1666966683 1683720117 1742836428 2222622244 2244960156 3333933366 3367440234 5000900049 6667866732 6734880468 10001800098 20003600196 37228922587 74457845174 111686767761 148915690348 223373535522 335060303283 446747071044 670120606566 1340241213132