Search a number
-
+
1155540841216 = 2829732339151
BaseRepresentation
bin10000110100001011100…
…110011111001100000000
311002110122121221211120221
4100310023212133030000
5122413021423404331
62242503110312424
7146325244042216
oct20641346371400
94073577854527
101155540841216
11406075753063
12167b50358714
1384c7575b368
143dcdda42cb6
15200d19d1711
hex10d0b99f300

1155540841216 has 144 divisors (see below), whose sum is σ = 2429437570560. Its totient is φ = 547784294400.

The previous prime is 1155540841181. The next prime is 1155540841369. The reversal of 1155540841216 is 6121480455511.

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 15 ways as a sum of consecutive naturals, for example, 126270241 + ... + 126279391.

It is an arithmetic number, because the mean of its divisors is an integer number (16871094240).

Almost surely, 21155540841216 is an apocalyptic number.

1155540841216 is a gapful number since it is divisible by the number (16) 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 1155540841216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214718785280).

1155540841216 is an abundant number, since it is smaller than the sum of its proper divisors (1273896729344).

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

1155540841216 is an equidigital number, since it uses as much as digits as its factorization.

1155540841216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9502 (or 9488 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 43.

The spelling of 1155540841216 in words is "one trillion, one hundred fifty-five billion, five hundred forty million, eight hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 73 116 128 146 232 233 256 292 464 466 584 928 932 1168 1856 1864 2117 2336 3712 3728 4234 4672 6757 7424 7456 8468 9151 9344 13514 14912 16936 17009 18302 18688 27028 29824 33872 34018 36604 54056 59648 67744 68036 73208 108112 135488 136072 146416 216224 265379 270976 272144 292832 432448 493261 530758 541952 544288 585664 668023 864896 986522 1061516 1088576 1171328 1336046 1729792 1973044 2123032 2132183 2177152 2342656 2672092 3946088 4246064 4264366 4354304 5344184 7892176 8492128 8528732 10688368 15784352 16984256 17057464 19372667 21376736 31568704 33968512 34114928 38745334 42753472 61833307 63137408 67937024 68229856 77490668 85506944 123666614 126274816 136459712 154981336 155649359 171013888 247333228 272919424 309962672 311298718 494666456 545838848 619925344 622597436 989332912 1239850688 1245194872 1978665824 2479701376 2490389744 3957331648 4513831411 4959402752 4980779488 7914663296 9027662822 9961558976 15829326592 18055325644 19923117952 36110651288 39846235904 72221302576 144442605152 288885210304 577770420608 1155540841216