Search a number
-
+
144524440000 = 265413127581
BaseRepresentation
bin1000011010011001010…
…0111111000111000000
3111211001011020020122001
42012212110333013000
54331441224040000
6150221004153344
713304310320323
oct2064624770700
9454034206561
10144524440000
1156324307956
1224014b38854
1310823044b25
146dd049a7ba
153b5d03b46a
hex21a653f1c0

144524440000 has 140 divisors (see below), whose sum is σ = 361122410088. Its totient is φ = 57366400000.

The previous prime is 144524439971. The next prime is 144524440069. The reversal of 144524440000 is 44425441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5226210 + ... + 5253790.

Almost surely, 2144524440000 is an apocalyptic number.

144524440000 is a gapful number since it is divisible by the number (10) 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 144524440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180561205044).

144524440000 is an abundant number, since it is smaller than the sum of its proper divisors (216597970088).

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

144524440000 is an equidigital number, since it uses as much as digits as its factorization.

144524440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27744 (or 27719 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 144524440000 its reverse (44425441), we get a palindrome (144568865441).

The spelling of 144524440000 in words is "one hundred forty-four billion, five hundred twenty-four million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 131 160 200 250 262 320 400 500 524 625 655 800 1000 1048 1250 1310 1600 2000 2096 2500 2620 3275 4000 4192 5000 5240 6550 8000 8384 10000 10480 13100 16375 20000 20960 26200 27581 32750 40000 41920 52400 55162 65500 81875 104800 110324 131000 137905 163750 209600 220648 262000 275810 327500 441296 524000 551620 655000 689525 882592 1048000 1103240 1310000 1379050 1765184 2206480 2620000 2758100 3447625 3613111 4412960 5240000 5516200 6895250 7226222 8825920 11032400 13790500 14452444 17238125 18065555 22064800 27581000 28904888 34476250 36131110 44129600 55162000 57809776 68952500 72262220 90327775 110324000 115619552 137905000 144524440 180655550 220648000 231239104 275810000 289048880 361311100 451638875 551620000 578097760 722622200 903277750 1103240000 1156195520 1445244400 1806555500 2258194375 2890488800 3613111000 4516388750 5780977600 7226222000 9032777500 14452444000 18065555000 28904888000 36131110000 72262220000 144524440000