Search a number
-
+
1141297152 = 2123131709
BaseRepresentation
bin100010000000110…
…1101000000000000
32221112112220100220
41010001231000000
54314133002102
6305125543040
740165602642
oct10401550000
92845486326
101141297152
11536261496
1227a274a80
131525aca78
14ab80c892
156a2e21bc
hex4406d000

1141297152 has 104 divisors (see below), whose sum is σ = 3070642080. Its totient is φ = 376995840.

The previous prime is 1141297151. The next prime is 1141297181. The reversal of 1141297152 is 2517921411.

It is a super-2 number, since 2×11412971522 = 2605118378326622208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141297151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1609374 + ... + 1610082.

Almost surely, 21141297152 is an apocalyptic number.

1141297152 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 1141297152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535321040).

1141297152 is an abundant number, since it is smaller than the sum of its proper divisors (1929344928).

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

1141297152 is an equidigital number, since it uses as much as digits as its factorization.

1141297152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 845 counting only the distinct ones).

The product of its digits is 5040, while the sum is 33.

The square root of 1141297152 is about 33783.0897343627. The cubic root of 1141297152 is about 1045.0399935855.

The spelling of 1141297152 in words is "one billion, one hundred forty-one million, two hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 256 262 384 393 512 524 709 768 786 1024 1048 1418 1536 1572 2048 2096 2127 2836 3072 3144 4096 4192 4254 5672 6144 6288 8384 8508 11344 12288 12576 16768 17016 22688 25152 33536 34032 45376 50304 67072 68064 90752 92879 100608 134144 136128 181504 185758 201216 268288 272256 278637 363008 371516 402432 536576 544512 557274 726016 743032 804864 1089024 1114548 1452032 1486064 1609728 2178048 2229096 2904064 2972128 4356096 4458192 5944256 8712192 8916384 11888512 17832768 23777024 35665536 47554048 71331072 95108096 142662144 190216192 285324288 380432384 570648576 1141297152