Search a number
-
+
2341431412000 = 25532512332103
BaseRepresentation
bin100010000100101000001…
…100000000010100100000
322021211122101021200022221
4202010220030000110200
5301330222420141000
64551345545040424
7331106565423142
oct42045014002440
98254571250287
102341431412000
11822aa4a9a14a
12319950786114
1313ca46b71885
148147c32ac92
1540d8cb7061a
hex22128300520

2341431412000 has 96 divisors (see below), whose sum is σ = 5775819364224. Its totient is φ = 932840800000.

The previous prime is 2341431411989. The next prime is 2341431412007. The reversal of 2341431412000 is 2141341432.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2341431412007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162052 + ... + 2170051.

It is an arithmetic number, because the mean of its divisors is an integer number (60164785044).

Almost surely, 22341431412000 is an apocalyptic number.

2341431412000 is a gapful number since it is divisible by the number (20) 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 2341431412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887909682112).

2341431412000 is an abundant number, since it is smaller than the sum of its proper divisors (3434387952224).

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

2341431412000 is a wasteful number, since it uses less digits than its factorization.

2341431412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332379 (or 2332361 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 2341431412000 its reverse (2141341432), we get a palindrome (2343572753432).

The spelling of 2341431412000 in words is "two trillion, three hundred forty-one billion, four hundred thirty-one million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 251 400 500 502 800 1000 1004 1255 2000 2008 2510 4000 4016 5020 6275 8032 10040 12550 20080 25100 31375 40160 50200 62750 100400 125500 200800 251000 502000 1004000 2332103 4664206 9328412 11660515 18656824 23321030 37313648 46642060 58302575 74627296 93284120 116605150 186568240 233210300 291512875 373136480 466420600 583025750 585357853 932841200 1166051500 1170715706 1865682400 2332103000 2341431412 2926789265 4664206000 4682862824 5853578530 9328412000 9365725648 11707157060 14633946325 18731451296 23414314120 29267892650 46828628240 58535785300 73169731625 93657256480 117071570600 146339463250 234143141200 292678926500 468286282400 585357853000 1170715706000 2341431412000