Search a number
-
+
144101201424 = 24329091032007
BaseRepresentation
bin1000011000110100011…
…0011101011000010000
3111202221122211111110020
42012031012131120100
54330104401421144
6150111004503440
713260651000525
oct2061506353020
9452848744406
10144101201424
115612740a504
1223b1724ab80
1310786457cbb
146d901a714c
153b35cd7419
hex218d19d610

144101201424 has 40 divisors (see below), whose sum is σ = 372389766720. Its totient is φ = 48017175168.

The previous prime is 144101201407. The next prime is 144101201441. The reversal of 144101201424 is 424102101441.

It is an interprime number because it is at equal distance from previous prime (144101201407) and next prime (144101201441).

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

It is a junction number, because it is equal to n+sod(n) for n = 144101201394 and 144101201403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376372 + ... + 655635.

It is an arithmetic number, because the mean of its divisors is an integer number (9309744168).

Almost surely, 2144101201424 is an apocalyptic number.

It is an amenable number.

144101201424 is an abundant number, since it is smaller than the sum of its proper divisors (228288565296).

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

144101201424 is a wasteful number, since it uses less digits than its factorization.

144101201424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034927 (or 1034921 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 144101201424 its reverse (424102101441), we get a palindrome (568203302865).

The spelling of 144101201424 in words is "one hundred forty-four billion, one hundred one million, two hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 2909 5818 8727 11636 17454 23272 34908 46544 69816 139632 1032007 2064014 3096021 4128028 6192042 8256056 12384084 16512112 24768168 49536336 3002108363 6004216726 9006325089 12008433452 18012650178 24016866904 36025300356 48033733808 72050600712 144101201424