Search a number
-
+
4412552144 = 2471113221193
BaseRepresentation
bin1000001110000001…
…00011001111010000
3102101111222212121012
410013000203033100
533014103132034
62005504150052
7214230034340
oct40700431720
912344885535
104412552144
111964852810
12a31908328
13554239400
142dc064d20
151ac5b7cce
hex1070233d0

4412552144 has 120 divisors (see below), whose sum is σ = 11542421952. Its totient is φ = 1586856960.

The previous prime is 4412552141. The next prime is 4412552149.

4412552144 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4412552144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412552141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197612 + ... + 218804.

Almost surely, 24412552144 is an apocalyptic number.

4412552144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4412552144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5771210976).

4412552144 is an abundant number, since it is smaller than the sum of its proper divisors (7129869808).

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

4412552144 is a wasteful number, since it uses less digits than its factorization.

4412552144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21245 (or 21226 counting only the distinct ones).

The product of its digits is 25600, while the sum is 32.

The square root of 4412552144 is about 66427.0437698382. The cubic root of 4412552144 is about 1640.1992797698.

It can be divided in two parts, 44125 and 52144, that added together give a palindrome (96269).

The spelling of 4412552144 in words is "four billion, four hundred twelve million, five hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 169 176 182 208 286 308 338 364 572 616 676 728 1001 1144 1183 1232 1352 1456 1859 2002 2288 2366 2704 3718 4004 4732 7436 8008 9464 13013 14872 16016 18928 21193 26026 29744 42386 52052 84772 104104 148351 169544 208208 233123 275509 296702 339088 466246 551018 593404 932492 1102036 1186808 1631861 1864984 1928563 2204072 2373616 3030599 3263722 3581617 3729968 3857126 4408144 6061198 6527444 7163234 7714252 12122396 13054888 14326468 15428504 21214193 24244792 25071319 26109776 28652936 30857008 39397787 42428386 48489584 50142638 57305872 78795574 84856772 100285276 157591148 169713544 200570552 275784509 315182296 339427088 401141104 551569018 630364592 1103138036 2206276072 4412552144