Search a number
-
+
323130211223168 = 2719335873955877
BaseRepresentation
bin100100101111000101001110…
…1011101001100011010000000
31120101002221120000001212022002
41021132022131131030122000
5314323131133033120133
63103123545244203132
7125030246602063316
oct11136123535143200
91511087500055262
10323130211223168
1193a60831280468
12302a8971b394a8
1310b3c081aa6a9b
1459b182b11a0b6
1527555595c1ce8
hex125e29d74c680

323130211223168 has 64 divisors (see below), whose sum is σ = 677637154346400. Its totient is φ = 153057083139072.

The previous prime is 323130211223167. The next prime is 323130211223201. The reversal of 323130211223168 is 861322112031323.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (323130211223167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79705646 + ... + 83661522.

Almost surely, 2323130211223168 is an apocalyptic number.

323130211223168 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

323130211223168 is an abundant number, since it is smaller than the sum of its proper divisors (354506943123232).

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

323130211223168 is a wasteful number, since it uses less digits than its factorization.

323130211223168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3989497 (or 3989485 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 323130211223168 in words is "three hundred twenty-three trillion, one hundred thirty billion, two hundred eleven million, two hundred twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 2432 33587 67174 134348 268696 537392 638153 1074784 1276306 2149568 2552612 3955877 4299136 5105224 7911754 10210448 15823508 20420896 31647016 40841792 63294032 75161663 81683584 126588064 150323326 253176128 300646652 506352256 601293304 1202586608 2405173216 4810346432 9620692864 132866040799 265732081598 531464163196 1062928326392 2125856652784 2524454775181 4251713305568 5048909550362 8503426611136 10097819100724 17006853222272 20195638201448 40391276402896 80782552805792 161565105611584 323130211223168