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11411000133444 = 22333716317519053
BaseRepresentation
bin1010011000001101010010…
…0111000000011101000100
31111101212210012220201121000
42212003110213000131010
52443424212013232234
640134050250453300
72255263135524252
oct246032447003504
944355705821530
1011411000133444
1136aa41810038a
121343640a34230
1364a08ba056a2
142b641c6415d2
1514bc5db6b899
hexa60d49c0744

11411000133444 has 96 divisors (see below), whose sum is σ = 30570048467840. Its totient is φ = 3678160005504.

The previous prime is 11411000133443. The next prime is 11411000133479. The reversal of 11411000133444 is 44433100011411.

11411000133444 is a `hidden beast` number, since 114 + 1 + 100 + 0 + 1 + 3 + 3 + 444 = 666.

It is a super-2 number, since 2×114110001334442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11411000133443) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8108179 + ... + 9410874.

Almost surely, 211411000133444 is an apocalyptic number.

It is an amenable number.

11411000133444 is an abundant number, since it is smaller than the sum of its proper divisors (19159048334396).

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

11411000133444 is a wasteful number, since it uses less digits than its factorization.

11411000133444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17519266 (or 17519258 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11411000133444 its reverse (44433100011411), we get a palindrome (55844100144855).

The spelling of 11411000133444 in words is "eleven trillion, four hundred eleven billion, one hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 163 222 326 333 444 489 652 666 978 999 1332 1467 1956 1998 2934 3996 4401 5868 6031 8802 12062 17604 18093 24124 36186 54279 72372 108558 162837 217116 325674 651348 17519053 35038106 52557159 70076212 105114318 157671477 210228636 315342954 473014431 630685908 648204961 946028862 1296409922 1892057724 1944614883 2592819844 2855605639 3889229766 5711211278 5833844649 7778459532 8566816917 11422422556 11667689298 17133633834 17501533947 23335378596 25700450751 34267267668 35003067894 51400901502 70006135788 77101352253 102801803004 105657408643 154202704506 211314817286 308405409012 316972225929 422629634572 633944451858 950916677787 1267888903716 1901833355574 2852750033361 3803666711148 5705500066722 11411000133444