Search a number
-
+
1104318152640 = 2634542604867
BaseRepresentation
bin10000000100011110011…
…111011011111111000000
310220120102211102122120000
4100010132133123333000
5121043120421341030
62203152230320000
7142533014263563
oct20043637337700
93816384378500
101104318152640
1139637a897a8a
1215a035ab9000
13801a15b2091
143b640b984da
151dad4b1d860
hex1011e7dbfc0

1104318152640 has 140 divisors (see below), whose sum is σ = 3928254039336. Its totient is φ = 294484833792.

The previous prime is 1104318152573. The next prime is 1104318152681. The reversal of 1104318152640 is 462518134011.

1104318152640 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 3 + 1 + 8 + 1 + 5 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1104318152595 and 1104318152604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21276514 + ... + 21328353.

Almost surely, 21104318152640 is an apocalyptic number.

1104318152640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1104318152640 is an abundant number, since it is smaller than the sum of its proper divisors (2823935886696).

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

1104318152640 is an equidigital number, since it uses as much as digits as its factorization.

1104318152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42604896 (or 42604877 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1104318152640 in words is "one trillion, one hundred four billion, three hundred eighteen million, one hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 42604867 85209734 127814601 170419468 213024335 255629202 340838936 383443803 426048670 511258404 639073005 681677872 766887606 852097340 1022516808 1150331409 1278146010 1363355744 1533775212 1704194680 1917219015 2045033616 2300662818 2556292020 2726711488 3067550424 3408389360 3450994227 3834438030 4090067232 4601325636 5112584040 5751657045 6135100848 6816778720 6901988454 7668876060 8180134464 9202651272 10225168080 11503314090 12270201696 13633557440 13803976908 15337752120 17254971135 18405302544 20450336160 23006628180 24540403392 27607953816 30675504240 34509942270 36810605088 40900672320 46013256360 55215907632 61351008480 69019884540 73621210176 92026512720 110431815264 122702016960 138039769080 184053025440 220863630528 276079538160 368106050880 552159076320 1104318152640