Search a number
-
+
2145540144 = 243117951437
BaseRepresentation
bin111111111100010…
…0101100000110000
312112112012201202210
41333320211200300
513343224241034
6552522212120
7104111535036
oct17770454060
95475181683
102145540144
11a01113080
124ba654040
132826742a7
14164d42556
15c85608e9
hex7fe25830

2145540144 has 80 divisors (see below), whose sum is σ = 6123179520. Its totient is φ = 641921280.

The previous prime is 2145540143. The next prime is 2145540151. The reversal of 2145540144 is 4410455412.

It is not an unprimeable number, because it can be changed into a prime (2145540143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15994 + ... + 67430.

It is an arithmetic number, because the mean of its divisors is an integer number (76539744).

Almost surely, 22145540144 is an apocalyptic number.

2145540144 is a gapful number since it is divisible by the number (24) 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 2145540144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061589760).

2145540144 is an abundant number, since it is smaller than the sum of its proper divisors (3977639376).

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

2145540144 is a wasteful number, since it uses less digits than its factorization.

2145540144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51538 (or 51532 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 2145540144 is about 46319.9756476620. The cubic root of 2145540144 is about 1289.7698333418.

Adding to 2145540144 its reverse (4410455412), we get a palindrome (6555995556).

The spelling of 2145540144 in words is "two billion, one hundred forty-five million, five hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 79 88 132 158 176 237 264 316 474 528 632 869 948 1264 1738 1896 2607 3476 3792 5214 6952 10428 13904 20856 41712 51437 102874 154311 205748 308622 411496 565807 617244 822992 1131614 1234488 1697421 2263228 2468976 3394842 4063523 4526456 6789684 8127046 9052912 12190569 13579368 16254092 24381138 27158736 32508184 44698753 48762276 65016368 89397506 97524552 134096259 178795012 195049104 268192518 357590024 536385036 715180048 1072770072 2145540144