Search a number
-
+
2231112324144 = 243114225591523
BaseRepresentation
bin100000011101111000101…
…010000101010000110000
321220021220001110100201010
4200131320222011100300
5243023304223333034
64424543040110520
7320123020563324
oct40357052052060
97807801410633
102231112324144
11790233818670
123004a3005440
131325155229b2
1479db4a05984
153d082a483e9
hex20778a85430

2231112324144 has 40 divisors (see below), whose sum is σ = 6287680187712. Its totient is φ = 676094643520.

The previous prime is 2231112324121. The next prime is 2231112324149. The reversal of 2231112324144 is 4414232111322.

It is a happy number.

It is a super-3 number, since 3×22311123241443 (a number of 38 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2231112324149) 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, 2112795234 + ... + 2112796289.

Almost surely, 22231112324144 is an apocalyptic number.

2231112324144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2231112324144 is an abundant number, since it is smaller than the sum of its proper divisors (4056567863568).

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

2231112324144 is a wasteful number, since it uses less digits than its factorization.

2231112324144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225591545 (or 4225591539 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 2231112324144 its reverse (4414232111322), we get a palindrome (6645344435466).

The spelling of 2231112324144 in words is "two trillion, two hundred thirty-one billion, one hundred twelve million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 4225591523 8451183046 12676774569 16902366092 25353549138 33804732184 46481506753 50707098276 67609464368 92963013506 101414196552 139444520259 185926027012 202828393104 278889040518 371852054024 557778081036 743704108048 1115556162072 2231112324144