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1141221120444 = 223250965299539
BaseRepresentation
bin10000100110110110000…
…101000101100110111100
311001002200122212122120100
4100212312011011212330
5122144210101323234
62232134133121100
7145310344320156
oct20466605054674
94032618778510
101141221120444
113aaa97630989
12165214789190
1383802b383c2
143d341d01ad6
151ea44796399
hex109b61459bc

1141221120444 has 72 divisors (see below), whose sum is σ = 2891166642000. Its totient is φ = 379561734144.

The previous prime is 1141221120439. The next prime is 1141221120467. The reversal of 1141221120444 is 4440211221411.

1141221120444 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 2 + 211 + 2 + 0 + 444 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119632627 + ... + 119642165.

It is an arithmetic number, because the mean of its divisors is an integer number (40155092250).

Almost surely, 21141221120444 is an apocalyptic number.

It is an amenable number.

1141221120444 is an abundant number, since it is smaller than the sum of its proper divisors (1749945521556).

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

1141221120444 is a wasteful number, since it uses less digits than its factorization.

1141221120444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16587 (or 16582 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 1141221120444 its reverse (4440211221411), we get a palindrome (5581432341855).

The spelling of 1141221120444 in words is "one trillion, one hundred forty-one billion, two hundred twenty-one million, one hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 509 1018 1527 2036 3054 4581 6108 6529 9162 9539 13058 18324 19078 19587 26116 28617 38156 39174 57234 58761 78348 85851 114468 117522 171702 235044 343404 3323261 4855351 6646522 9710702 9969783 13293044 14566053 19421404 19939566 29132106 29909349 39879132 43698159 58264212 59818698 62280131 87396318 119637396 124560262 174792636 186840393 249120524 373680786 560521179 747361572 1121042358 2242084716 31700586679 63401173358 95101760037 126802346716 190203520074 285305280111 380407040148 570610560222 1141221120444