Search a number
-
+
2144496450 = 235217840979
BaseRepresentation
bin111111111010010…
…0110101101000010
312112110020201002110
41333310212231002
513342442341300
6552444000150
7104066630145
oct17764465502
95473221073
102144496450
11a0056aa18
124ba230056
1328239a215
14164b5005c
15c8406550
hex7fd26b42

2144496450 has 48 divisors (see below), whose sum is σ = 5631202080. Its totient is φ = 538225920.

The previous prime is 2144496449. The next prime is 2144496451. The reversal of 2144496450 is 546944412.

It is an interprime number because it is at equal distance from previous prime (2144496449) and next prime (2144496451).

It is a super-3 number, since 3×21444964503 (a number of 29 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2144496399 and 2144496408.

It is not an unprimeable number, because it can be changed into a prime (2144496451) 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, 417940 + ... + 423039.

It is an arithmetic number, because the mean of its divisors is an integer number (117316710).

Almost surely, 22144496450 is an apocalyptic number.

2144496450 is an abundant number, since it is smaller than the sum of its proper divisors (3486705630).

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

2144496450 is a wasteful number, since it uses less digits than its factorization.

2144496450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841011 (or 841006 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 2144496450 is about 46308.7081443652. The cubic root of 2144496450 is about 1289.5606640451.

The spelling of 2144496450 in words is "two billion, one hundred forty-four million, four hundred ninety-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 425 510 850 1275 2550 840979 1681958 2522937 4204895 5045874 8409790 12614685 14296643 21024475 25229370 28593286 42048950 42889929 63073425 71483215 85779858 126146850 142966430 214449645 357416075 428899290 714832150 1072248225 2144496450