Search a number
-
+
5114112144 = 2436167131199
BaseRepresentation
bin1001100001101001…
…10010100010010000
3111012102002210222220
410300310302202100
540433203042034
62203245101040
7240506143641
oct46064624220
914172083886
105114112144
112194868169
12ba8857780
136366a387b
143672c76c8
151ede97749
hex130d32890

5114112144 has 160 divisors (see below), whose sum is σ = 13801497600. Its totient is φ = 1630886400.

The previous prime is 5114112131. The next prime is 5114112149. The reversal of 5114112144 is 4412114115.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (5114112149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25698957 + ... + 25699155.

It is an arithmetic number, because the mean of its divisors is an integer number (86259360).

Almost surely, 25114112144 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 5114112144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6900748800).

5114112144 is an abundant number, since it is smaller than the sum of its proper divisors (8687385456).

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

5114112144 is a wasteful number, since it uses less digits than its factorization.

5114112144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 463 counting only the distinct ones).

The product of its digits is 640, while the sum is 24.

The square root of 5114112144 is about 71513.0208004109. The cubic root of 5114112144 is about 1722.8868214635.

Adding to 5114112144 its reverse (4412114115), we get a palindrome (9526226259).

The spelling of 5114112144 in words is "five billion, one hundred fourteen million, one hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 67 122 131 134 183 199 201 244 262 268 366 393 398 402 488 524 536 597 732 786 796 804 976 1048 1072 1194 1464 1572 1592 1608 2096 2388 2928 3144 3184 3216 4087 4776 6288 7991 8174 8777 9552 12139 12261 13333 15982 16348 17554 23973 24278 24522 26069 26331 26666 31964 32696 35108 36417 39999 47946 48556 49044 52138 52662 53332 63928 65392 70216 72834 78207 79998 95892 97112 98088 104276 105324 106664 127856 140432 145668 156414 159996 191784 194224 196176 208552 210648 213328 291336 312828 319992 383568 417104 421296 535397 582672 625656 639984 813313 1070794 1251312 1590209 1606191 1626626 1746623 2141588 2439939 3180418 3212382 3253252 3493246 4283176 4770627 4879878 5239869 6360836 6424764 6506504 6986492 8566352 9541254 9759756 10479738 12721672 12849528 13013008 13972984 19082508 19519512 20959476 25443344 25699056 27945968 38165016 39039024 41918952 76330032 83837904 106544003 213088006 319632009 426176012 639264018 852352024 1278528036 1704704048 2557056072 5114112144