Search a number
-
+
330244201252000 = 2553711794435759
BaseRepresentation
bin100101100010110101111100…
…0010011100000010010100000
31121022022001000012101021122001
41023011223320103200102200
5321241210111010031000
63130212031443453344
7126363233111441230
oct11305537023402240
91538261005337561
10330244201252000
1196253863181602
1231057656987254
1311236b8243c2c9
145b79c94411cc0
15282a62231e46a
hex12c5af84e04a0

330244201252000 has 96 divisors (see below), whose sum is σ = 927325717194240. Its totient is φ = 113226583276800.

The previous prime is 330244201251997. The next prime is 330244201252019. The reversal of 330244201252000 is 252102442033.

It is a super-2 number, since 2×3302442012520002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 330244201252000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5897189880 + ... + 5897245879.

It is an arithmetic number, because the mean of its divisors is an integer number (9659642887440).

Almost surely, 2330244201252000 is an apocalyptic number.

It is an amenable number.

330244201252000 is an abundant number, since it is smaller than the sum of its proper divisors (597081515942240).

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

330244201252000 is a wasteful number, since it uses less digits than its factorization.

330244201252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11794435791 (or 11794435773 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 330244201252000 its reverse (252102442033), we get a palindrome (330496303694033).

The spelling of 330244201252000 in words is "three hundred thirty trillion, two hundred forty-four billion, two hundred one million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 11794435759 23588871518 47177743036 58972178795 82561050313 94355486072 117944357590 165122100626 188710972144 235888715180 294860893975 330244201252 377421944288 412805251565 471777430360 589721787950 660488402504 825610503130 943554860720 1179443575900 1320976805008 1474304469875 1651221006260 1887109721440 2064026257825 2358887151800 2641953610016 2948608939750 3302442012520 4128052515650 4717774303600 5897217879500 6604884025040 8256105031300 9435548607200 10320131289125 11794435759000 13209768050080 16512210062600 20640262578250 23588871518000 33024420125200 41280525156500 47177743036000 66048840250400 82561050313000 165122100626000 330244201252000