Search a number
-
+
1144653030320 = 245101271522749
BaseRepresentation
bin10000101010000010101…
…000110010001110110000
311001102112211121201212112
4100222002220302032300
5122223222133432240
62233502450544452
7145461366136262
oct20520250621660
94042484551775
101144653030320
11401498881638
12165a11b98128
1383c2bb545c7
143d589a17b32
151eb95c03665
hex10a82a323b0

1144653030320 has 80 divisors (see below), whose sum is σ = 2697590736000. Its totient is φ = 451654272000.

The previous prime is 1144653030317. The next prime is 1144653030377. The reversal of 1144653030320 is 230303564411.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1928306 + ... + 2451054.

It is an arithmetic number, because the mean of its divisors is an integer number (33719884200).

Almost surely, 21144653030320 is an apocalyptic number.

1144653030320 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 1144653030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348795368000).

1144653030320 is an abundant number, since it is smaller than the sum of its proper divisors (1552937705680).

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

1144653030320 is a wasteful number, since it uses less digits than its factorization.

1144653030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523134 (or 523128 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 1144653030320 its reverse (230303564411), we get a palindrome (1374956594731).

The spelling of 1144653030320 in words is "one trillion, one hundred forty-four billion, six hundred fifty-three million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 271 404 505 542 808 1010 1084 1355 1616 2020 2168 2710 4040 4336 5420 8080 10840 21680 27371 54742 109484 136855 218968 273710 437936 522749 547420 1045498 1094840 2090996 2189680 2613745 4181992 5227490 8363984 10454980 20909960 41819920 52797649 105595298 141664979 211190596 263988245 283329958 422381192 527976490 566659916 708324895 844762384 1055952980 1133319832 1416649790 2111905960 2266639664 2833299580 4223811920 5666599160 11333198320 14308162879 28616325758 57232651516 71540814395 114465303032 143081628790 228930606064 286163257580 572326515160 1144653030320