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3144032134040 = 235711228686193
BaseRepresentation
bin101101110000000110111…
…010110010001110011000
3102010120022000010210021002
4231300012322302032120
5403002434211242130
610404203132004132
7443102022124160
oct55600672621630
912116260123232
103144032134040
1110024161a18a6
12429402000648
1319a633884a15
14ac259c415a0
1556bb4436b45
hex2dc06eb2398

3144032134040 has 32 divisors (see below), whose sum is σ = 8084654059680. Its totient is φ = 1077953874432.

The previous prime is 3144032133947. The next prime is 3144032134097. The reversal of 3144032134040 is 404312304413.

It is a happy number.

It is a super-2 number, since 2×31440321340402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3144032133994 and 3144032134012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5614342817 + ... + 5614343376.

It is an arithmetic number, because the mean of its divisors is an integer number (252645439365).

Almost surely, 23144032134040 is an apocalyptic number.

It is an amenable number.

3144032134040 is an abundant number, since it is smaller than the sum of its proper divisors (4940621925640).

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

3144032134040 is a wasteful number, since it uses less digits than its factorization.

3144032134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11228686211 (or 11228686207 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 3144032134040 its reverse (404312304413), we get a palindrome (3548344438453).

The spelling of 3144032134040 in words is "three trillion, one hundred forty-four billion, thirty-two million, one hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 11228686193 22457372386 44914744772 56143430965 78600803351 89829489544 112286861930 157201606702 224573723860 314403213404 393004016755 449147447720 628806426808 786008033510 1572016067020 3144032134040