Search a number
-
+
20241112142752 = 2517173215074721
BaseRepresentation
bin1001001101000110000000…
…10011001001001110100000
32122200000211220111102200221
410212203000103021032200
510123112244202032002
6111014345532052424
74156241425305244
oct446430023111640
978600756442627
1020241112142752
1164a4231135616
12232aa43604114
13b3a961bc80a7
144dd9644ca424
152517b7775c37
hex1268c04c93a0

20241112142752 has 48 divisors (see below), whose sum is σ = 42437683846152. Its totient is φ = 9470170071040.

The previous prime is 20241112142731. The next prime is 20241112142753. The reversal of 20241112142752 is 25724121114202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18143817317136 + 2097294825616 = 4259556^2 + 1448204^2 .

It is a super-2 number, since 2×202411121427522 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (20241112142753) 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, 107443249 + ... + 107631472.

Almost surely, 220241112142752 is an apocalyptic number.

It is an amenable number.

20241112142752 is an abundant number, since it is smaller than the sum of its proper divisors (22196571703400).

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

20241112142752 is a wasteful number, since it uses less digits than its factorization.

20241112142752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215074921 (or 215074913 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

Adding to 20241112142752 its reverse (25724121114202), we get a palindrome (45965233256954).

The spelling of 20241112142752 in words is "twenty trillion, two hundred forty-one billion, one hundred twelve million, one hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 173 272 346 544 692 1384 2768 2941 5536 5882 11764 23528 47056 94112 215074721 430149442 860298884 1720597768 3441195536 3656270257 6882391072 7312540514 14625081028 29250162056 37207926733 58500324112 74415853466 117000648224 148831706932 297663413864 595326827728 632534754461 1190653655456 1265069508922 2530139017844 5060278035688 10120556071376 20241112142752