Search a number
-
+
23433411111440 = 2451122420806933
BaseRepresentation
bin1010101010000000001000…
…01001010010101000010000
310001222012201201012110200112
411111000010021102220100
511032413111221031230
6121501054353540452
74636002525652121
oct525000411225020
9101865651173615
1023433411111440
117515065734700
122765675b74728
13100c9b84305a5
145b027c7c2048
152a98542ebd95
hex155004252a10

23433411111440 has 60 divisors (see below), whose sum is σ = 59885921933292. Its totient is φ = 8521240400640.

The previous prime is 23433411111413. The next prime is 23433411111457. The reversal of 23433411111440 is 4411111433432.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10788019078144 + 12645392033296 = 3284512^2 + 3556036^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23433411111397 and 23433411111406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1210393787 + ... + 1210413146.

Almost surely, 223433411111440 is an apocalyptic number.

23433411111440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23433411111440 is an abundant number, since it is smaller than the sum of its proper divisors (36452510821852).

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

23433411111440 is a wasteful number, since it uses less digits than its factorization.

23433411111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420806968 (or 2420806951 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 23433411111440 its reverse (4411111433432), we get a palindrome (27844522544872).

The spelling of 23433411111440 in words is "twenty-three trillion, four hundred thirty-three billion, four hundred eleven million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 2420806933 4841613866 9683227732 12104034665 19366455464 24208069330 26628876263 38732910928 48416138660 53257752526 96832277320 106515505052 133144381315 193664554640 213031010104 266288762630 292917638893 426062020208 532577525260 585835277786 1065155050520 1171670555572 1464588194465 2130310101040 2343341111144 2929176388930 4686682222288 5858352777860 11716705555720 23433411111440