Search a number
-
+
1104113113440 = 25357929116907
BaseRepresentation
bin10000000100010010010…
…001010001100101100000
310220112220112121120122120
4100010102101101211200
5121042210424112230
62203120023504240
7142524644420631
oct20042221214540
93815815546576
101104113113440
11396285082aa7
12159b992b8080
138016ac821cc
143b621863888
151dac1b1b310
hex10112451960

1104113113440 has 96 divisors (see below), whose sum is σ = 3521981191680. Its totient is φ = 290703189504.

The previous prime is 1104113113427. The next prime is 1104113113547. The reversal of 1104113113440 is 443113114011.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1104113113440.

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, 14520534 + ... + 14596373.

It is an arithmetic number, because the mean of its divisors is an integer number (36687304080).

Almost surely, 21104113113440 is an apocalyptic number.

1104113113440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1104113113440 is an abundant number, since it is smaller than the sum of its proper divisors (2417868078240).

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

1104113113440 is a wasteful number, since it uses less digits than its factorization.

1104113113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29117004 (or 29116996 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 1104113113440 its reverse (443113114011), we get a palindrome (1547226227451).

The spelling of 1104113113440 in words is "one trillion, one hundred four billion, one hundred thirteen million, one hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 79 80 96 120 158 160 237 240 316 395 474 480 632 790 948 1185 1264 1580 1896 2370 2528 3160 3792 4740 6320 7584 9480 12640 18960 37920 29116907 58233814 87350721 116467628 145584535 174701442 232935256 291169070 349402884 436753605 465870512 582338140 698805768 873507210 931741024 1164676280 1397611536 1747014420 2300235653 2329352560 2795223072 3494028840 4600471306 4658705120 6900706959 6988057680 9200942612 11501178265 13801413918 13976115360 18401885224 23002356530 27602827836 34503534795 36803770448 46004713060 55205655672 69007069590 73607540896 92009426120 110411311344 138014139180 184018852240 220822622688 276028278360 368037704480 552056556720 1104113113440