Search a number
-
+
23144224102144 = 284115311440269
BaseRepresentation
bin1010100001100101011110…
…10000011001011100000000
310000221120021202211021122121
411100302233100121130000
511013143332332232034
6121120150524414024
74606054306641625
oct520625720313400
9100846252737577
1023144224102144
117413457156362
1227196099a7314
13cbb64c86cc42
145a028779034c
152a207b08c1b4
hex150caf419700

23144224102144 has 72 divisors (see below), whose sum is σ = 47355766501680. Its totient is φ = 11282483404800.

The previous prime is 23144224102141. The next prime is 23144224102183. The reversal of 23144224102144 is 44120142244132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23144224102141) 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, 15349242 + ... + 16789510.

It is an arithmetic number, because the mean of its divisors is an integer number (657718979190).

Almost surely, 223144224102144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23144224102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23677883250840).

23144224102144 is an abundant number, since it is smaller than the sum of its proper divisors (24211542399536).

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

23144224102144 is a wasteful number, since it uses less digits than its factorization.

23144224102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441857 (or 1441843 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 23144224102144 its reverse (44120142244132), we get a palindrome (67264366346276).

The spelling of 23144224102144 in words is "twenty-three trillion, one hundred forty-four billion, two hundred twenty-four million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1312 1531 2624 3062 5248 6124 10496 12248 24496 48992 62771 97984 125542 195968 251084 391936 502168 1004336 1440269 2008672 2880538 4017344 5761076 8034688 11522152 16069376 23044304 46088608 59051029 92177216 118102058 184354432 236204116 368708864 472408232 944816464 1889632928 2205051839 3779265856 4410103678 7558531712 8820207356 15117063424 17640414712 35280829424 70561658848 90407125399 141123317696 180814250798 282246635392 361628501596 564493270784 723257003192 1446514006384 2893028012768 5786056025536 11572112051072 23144224102144