Search a number
-
+
23144220402000 = 243533857370067
BaseRepresentation
bin1010100001100101011110…
…00010010010000101010000
310000221120021111212022000020
411100302233002102011100
511013143330410331000
6121120150313223440
74606054233331215
oct520625702220520
9100846244768006
1023144220402000
117413455059395
122719608701b80
13cbb64bb759c9
145a02870a9b0c
152a207aaaaba0
hex150caf092150

23144220402000 has 80 divisors (see below), whose sum is σ = 74616966595392. Its totient is φ = 6171792105600.

The previous prime is 23144220401989. The next prime is 23144220402011. The reversal of 23144220402000 is 20402244132.

It is an interprime number because it is at equal distance from previous prime (23144220401989) and next prime (23144220402011).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1928679034 + ... + 1928691033.

Almost surely, 223144220402000 is an apocalyptic number.

23144220402000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23144220402000 is an abundant number, since it is smaller than the sum of its proper divisors (51472746193392).

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

23144220402000 is a wasteful number, since it uses less digits than its factorization.

23144220402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3857370093 (or 3857370077 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 23144220402000 its reverse (20402244132), we get a palindrome (23164622646132).

The spelling of 23144220402000 in words is "twenty-three trillion, one hundred forty-four billion, two hundred twenty million, four hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 3857370067 7714740134 11572110201 15429480268 19286850335 23144220402 30858960536 38573700670 46288440804 57860551005 61717921072 77147401340 92576881608 96434251675 115721102010 154294802680 185153763216 192868503350 231442204020 289302755025 308589605360 385737006700 462884408040 482171258375 578605510050 771474013400 925768816080 964342516750 1157211020100 1446513775125 1542948026800 1928685033500 2314422040200 2893027550250 3857370067000 4628844080400 5786055100500 7714740134000 11572110201000 23144220402000