Search a number
-
+
1111358254944 = 25372371904649
BaseRepresentation
bin10000001011000010000…
…111010010111101100000
310221020121110121220100210
4100023002013102331200
5121202030203124234
62210315000214120
7143202331205310
oct20130207227540
93836543556323
101111358254944
11399362842053
1215b47b76a340
1380a53cb92a2
143bb0bb93440
151dd97c09be9
hex102c21d2f60

1111358254944 has 96 divisors (see below), whose sum is σ = 3479034585600. Its totient is φ = 303725233152.

The previous prime is 1111358254939. The next prime is 1111358254969. The reversal of 1111358254944 is 4494528531111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1111358254893 and 1111358254902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35936869 + ... + 35967780.

It is an arithmetic number, because the mean of its divisors is an integer number (36239943600).

Almost surely, 21111358254944 is an apocalyptic number.

1111358254944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1111358254944 is an abundant number, since it is smaller than the sum of its proper divisors (2367676330656).

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

1111358254944 is a wasteful number, since it uses less digits than its factorization.

1111358254944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71904692 (or 71904684 counting only the distinct ones).

The product of its digits is 691200, while the sum is 48.

The spelling of 1111358254944 in words is "one trillion, one hundred eleven billion, three hundred fifty-eight million, two hundred fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1932 2208 2576 3864 5152 7728 15456 71904649 143809298 215713947 287618596 431427894 503332543 575237192 862855788 1006665086 1150474384 1509997629 1653806927 1725711576 2013330172 2300948768 3019995258 3307613854 3451423152 4026660344 4961420781 6039990516 6615227708 6902846304 8053320688 9922841562 11576648489 12079981032 13230455416 16106641376 19845683124 23153296978 24159962064 26460910832 34729945467 39691366248 46306593956 48319924128 52921821664 69459890934 79382732496 92613187912 138919781868 158765464992 185226375824 277839563736 370452751648 555679127472 1111358254944