Search a number
-
+
315152144326416 = 24373314336250703
BaseRepresentation
bin100011110101000010001001…
…1100111001101111100010000
31112022212020202210200112211010
41013222010103213031330100
5312301423042421421131
63034134521342450520
7123244663633262355
oct10752042347157420
91468766683615733
10315152144326416
1191465301522341
122b41a71b593a40
13106b0948211737
1457b76337a662c
152667c6ce73b46
hex11ea1139cdf10

315152144326416 has 80 divisors (see below), whose sum is σ = 815822783928576. Its totient is φ = 104834173651968.

The previous prime is 315152144326367. The next prime is 315152144326423. The reversal of 315152144326416 is 614623441251513.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47293321 + ... + 53544023.

Almost surely, 2315152144326416 is an apocalyptic number.

It is an amenable number.

315152144326416 is an abundant number, since it is smaller than the sum of its proper divisors (500670639602160).

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

315152144326416 is a wasteful number, since it uses less digits than its factorization.

315152144326416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6252880 (or 6252874 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

Adding to 315152144326416 its reverse (614623441251513), we get a palindrome (929775585577929).

The spelling of 315152144326416 in words is "three hundred fifteen trillion, one hundred fifty-two billion, one hundred forty-four million, three hundred twenty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 733 1433 1466 2199 2866 2932 4299 4398 5732 5864 8598 8796 11464 11728 17196 17592 22928 34392 35184 68784 1050389 2100778 3151167 4201556 6250703 6302334 8403112 12501406 12604668 16806224 18752109 25002812 25209336 37504218 50005624 50418672 75008436 100011248 150016872 300033744 4581765299 8957257399 9163530598 13745295897 17914514798 18327061196 26871772197 27490591794 35829029596 36654122392 53743544394 54981183588 71658059192 73308244784 107487088788 109962367176 143316118384 214974177576 219924734352 429948355152 6565669673467 13131339346934 19697009020401 26262678693868 39394018040802 52525357387736 78788036081604 105050714775472 157576072163208 315152144326416