Search a number
-
+
1040043440000 = 275423565241
BaseRepresentation
bin11110010001001110110…
…10110111011110000000
310200102112102012221110102
433020213122313132000
5114020002110040000
62113442300221532
7135066150243035
oct17104732673600
93612472187412
101040043440000
11371097454064
1214969853a8a8
13770ca34a636
14384a46c138c
151c0c1e7e3d5
hexf2276b7780

1040043440000 has 160 divisors (see below), whose sum is σ = 2701698492240. Its totient is φ = 397928960000.

The previous prime is 1040043439979. The next prime is 1040043440027. The reversal of 1040043440000 is 443400401.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1557380 + ... + 2122620.

Almost surely, 21040043440000 is an apocalyptic number.

1040043440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040043440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350849246120).

1040043440000 is an abundant number, since it is smaller than the sum of its proper divisors (1661655052240).

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

1040043440000 is an frugal number, since it uses more digits than its factorization.

1040043440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565298 (or 565271 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 1040043440000 its reverse (443400401), we get a palindrome (1040486840401).

The spelling of 1040043440000 in words is "one trillion, forty billion, forty-three million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 128 160 184 200 230 250 320 368 400 460 500 575 625 640 736 800 920 1000 1150 1250 1472 1600 1840 2000 2300 2500 2875 2944 3200 3680 4000 4600 5000 5750 7360 8000 9200 10000 11500 14375 14720 16000 18400 20000 23000 28750 36800 40000 46000 57500 73600 80000 92000 115000 184000 230000 368000 460000 565241 920000 1130482 1840000 2260964 2826205 4521928 5652410 9043856 11304820 13000543 14131025 18087712 22609640 26001086 28262050 36175424 45219280 52002172 56524100 65002715 70655125 72350848 90438560 104004344 113048200 130005430 141310250 180877120 208008688 226096400 260010860 282620500 325013575 353275625 361754240 416017376 452192800 520021720 565241000 650027150 706551250 832034752 904385600 1040043440 1130482000 1300054300 1413102500 1625067875 1664069504 1808771200 2080086880 2260964000 2600108600 2826205000 3250135750 4160173760 4521928000 5200217200 5652410000 6500271500 8125339375 8320347520 9043856000 10400434400 11304820000 13000543000 16250678750 20800868800 22609640000 26001086000 32501357500 41601737600 45219280000 52002172000 65002715000 104004344000 130005430000 208008688000 260010860000 520021720000 1040043440000