Search a number
-
+
513214144133442 = 237310739112799967
BaseRepresentation
bin111010010110000111111101…
…0110000010011100101000010
32111022010210102010001021200120
41310230033322300103211002
51014232000031344232232
65015303153434201110
7213046332631016043
oct16454177260234502
92438123363037616
10513214144133442
11139586994997544
124968840a583196
1319049b69aa39ab
1490a39a8c388ca
153e4ed2710d92c
hex1d2c3fac13942

513214144133442 has 64 divisors (see below), whose sum is σ = 1050482048753664. Its totient is φ = 167108242803840.

The previous prime is 513214144133389. The next prime is 513214144133443. The reversal of 513214144133442 is 244331441412315.

It is a junction number, because it is equal to n+sod(n) for n = 513214144133394 and 513214144133403.

It is not an unprimeable number, because it can be changed into a prime (513214144133443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181892943 + ... + 184692909.

It is an arithmetic number, because the mean of its divisors is an integer number (16413782011776).

Almost surely, 2513214144133442 is an apocalyptic number.

513214144133442 is an abundant number, since it is smaller than the sum of its proper divisors (537267904620222).

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

513214144133442 is a wasteful number, since it uses less digits than its factorization.

513214144133442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804063.

The product of its digits is 552960, while the sum is 42.

Adding to 513214144133442 its reverse (244331441412315), we get a palindrome (757545585545757).

The spelling of 513214144133442 in words is "five hundred thirteen trillion, two hundred fourteen billion, one hundred forty-four million, one hundred thirty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 73 107 146 214 219 321 438 642 3911 7811 7822 11733 15622 23433 23466 46866 285503 418477 571006 836954 856509 1255431 1713018 2510862 2799967 5599934 8399901 16799802 30548821 61097642 91646463 183292926 204397591 299596469 408795182 599192938 613192773 898789407 1226385546 1797578814 10950670937 21870542237 21901341874 32852012811 43741084474 65611626711 65704025622 131223253422 799398978401 1171721790259 1598797956802 2343443580518 2398196935203 3515165370777 4796393870406 7030330741554 85535690688907 171071381377814 256607072066721 513214144133442