Search a number
-
+
1044251053032 = 23311416091847
BaseRepresentation
bin11110011001000100011…
…01101000101111101000
310200211101122120211110010
433030202031220233220
5114102111232144112
62115420004051520
7135305341332315
oct17144215505750
93624348524403
101044251053032
11372956550000
1214a471693ba0
137761ac905a5
1438783439d0c
151c26b56463c
hexf322368be8

1044251053032 has 160 divisors (see below), whose sum is σ = 2875013064000. Its totient is φ = 316071824640.

The previous prime is 1044251052997. The next prime is 1044251053033. The reversal of 1044251053032 is 2303501524401.

1044251053032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1044251053033) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 565375933 + ... + 565377779.

It is an arithmetic number, because the mean of its divisors is an integer number (17968831650).

Almost surely, 21044251053032 is an apocalyptic number.

1044251053032 is a gapful number since it is divisible by the number (12) 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 1044251053032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437506532000).

1044251053032 is an abundant number, since it is smaller than the sum of its proper divisors (1830762010968).

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

1044251053032 is a wasteful number, since it uses less digits than its factorization.

1044251053032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3509 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 1044251053032 its reverse (2303501524401), we get a palindrome (3347752577433).

The spelling of 1044251053032 in words is "one trillion, forty-four billion, two hundred fifty-one million, fifty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1331 1452 1609 1847 2662 2904 3218 3694 3993 4827 5324 5541 6436 7388 7986 9654 10648 11082 12872 14641 14776 15972 17699 19308 20317 22164 29282 31944 35398 38616 40634 43923 44328 53097 58564 60951 70796 81268 87846 106194 117128 121902 141592 162536 175692 194689 212388 223487 243804 351384 389378 424776 446974 487608 584067 670461 778756 893948 1168134 1340922 1557512 1787896 2141579 2336268 2458357 2681844 2971823 4283158 4672536 4916714 5363688 5943646 6424737 7375071 8566316 8915469 9833428 11887292 12849474 14750142 17132632 17830938 19666856 23557369 23774584 25698948 27041927 29500284 32690053 35661876 47114738 51397896 54083854 59000568 65380106 70672107 71323752 81125781 94229476 98070159 108167708 130760212 141344214 162251562 188458952 196140318 216335416 261520424 282688428 324503124 359590583 392280636 565376856 649006248 719181166 784561272 1078771749 1438362332 2157543498 2876724664 3955496413 4315086996 7910992826 8630173992 11866489239 15821985652 23732978478 31643971304 43510460543 47465956956 87020921086 94931913912 130531381629 174041842172 261062763258 348083684344 522125526516 1044251053032