Search a number
-
+
3102404240000 = 2754132983081
BaseRepresentation
bin101101001001010101101…
…100111110001010000000
3101222120211212220122221202
4231021111230332022000
5401312210441140000
610333120321440332
7440066316635462
oct55112554761200
911876755818852
103102404240000
11a967a434a98a
12421324aa00a8
1319672b481160
14aa22b39c132
1555a79a90dd5
hex2d255b3e280

3102404240000 has 160 divisors (see below), whose sum is σ = 8317339739940. Its totient is φ = 1145502720000.

The previous prime is 3102404239973. The next prime is 3102404240009. The reversal of 3102404240000 is 424042013.

It can be written as a sum of positive squares in 10 ways, for example, as 861347335744 + 2241056904256 = 928088^2 + 1497016^2 .

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 not an unprimeable number, because it can be changed into a prime (3102404240009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 451541 + ... + 2531540.

Almost surely, 23102404240000 is an apocalyptic number.

It is an amenable number.

3102404240000 is an abundant number, since it is smaller than the sum of its proper divisors (5214935499940).

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

3102404240000 is an equidigital number, since it uses as much as digits as its factorization.

3102404240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983128 (or 2983101 counting only the distinct ones).

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

Adding to 3102404240000 its reverse (424042013), we get a palindrome (3102828282013).

The spelling of 3102404240000 in words is "three trillion, one hundred two billion, four hundred four million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 260 320 325 400 416 500 520 625 640 650 800 832 1000 1040 1250 1300 1600 1625 1664 2000 2080 2500 2600 3200 3250 4000 4160 5000 5200 6500 8000 8125 8320 10000 10400 13000 16000 16250 20000 20800 26000 32500 40000 41600 52000 65000 80000 104000 130000 208000 260000 520000 1040000 2983081 5966162 11932324 14915405 23864648 29830810 38780053 47729296 59661620 74577025 77560106 95458592 119323240 149154050 155120212 190917184 193900265 238646480 298308100 310240424 372885125 381834368 387800530 477292960 596616200 620480848 745770250 775601060 954585920 969501325 1193232400 1240961696 1491540500 1551202120 1864425625 1909171840 1939002650 2386464800 2481923392 2983081000 3102404240 3728851250 3878005300 4772929600 4847506625 4963846784 5966162000 6204808480 7457702500 7756010600 9545859200 9695013250 11932324000 12409616960 14915405000 15512021200 19390026500 23864648000 24237533125 24819233920 29830810000 31024042400 38780053000 47729296000 48475066250 59661620000 62048084800 77560106000 96950132500 119323240000 124096169600 155120212000 193900265000 238646480000 310240424000 387800530000 620480848000 775601060000 1551202120000 3102404240000