Search a number
-
+
3132143440000 = 2754325112043
BaseRepresentation
bin101101100101000010010…
…011000001000010000000
3102002102121110110112222121
4231211002103001002000
5402304112210040000
610354515320014024
7442201301651461
oct55450223010200
912072543415877
103132143440000
11aa8375354023
12427044601314
1319948a7c1b13
14ab84cd18d68
155671a850b1a
hex2d9424c1080

3132143440000 has 160 divisors (see below), whose sum is σ = 7800321410640. Its totient is φ = 1252368000000.

The previous prime is 3132143439983. The next prime is 3132143440009. The reversal of 3132143440000 is 443412313.

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 (25).

It is not an unprimeable number, because it can be changed into a prime (3132143440009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 260073979 + ... + 260086021.

Almost surely, 23132143440000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3132143440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900160705320).

3132143440000 is an abundant number, since it is smaller than the sum of its proper divisors (4668177970640).

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

3132143440000 is an equidigital number, since it uses as much as digits as its factorization.

3132143440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15328 (or 15301 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 3132143440000 its reverse (443412313), we get a palindrome (3132586852313).

The spelling of 3132143440000 in words is "three trillion, one hundred thirty-two billion, one hundred forty-three million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 3251 4000 5000 6502 8000 10000 12043 13004 16000 16255 20000 24086 26008 32510 40000 48172 52016 60215 65020 80000 81275 96344 104032 120430 130040 162550 192688 208064 240860 260080 301075 325100 385376 406375 416128 481720 520160 602150 650200 770752 812750 963440 1040320 1204300 1300400 1505375 1541504 1625500 1926880 2031875 2080640 2408600 2600800 3010750 3251000 3853760 4063750 4817200 5201600 6021500 6502000 7526875 7707520 8127500 9634400 10403200 12043000 13004000 15053750 16255000 19268800 24086000 26008000 30107500 32510000 38537600 39151793 48172000 52016000 60215000 65020000 78303586 96344000 120430000 130040000 156607172 192688000 195758965 240860000 260080000 313214344 391517930 481720000 626428688 783035860 963440000 978794825 1252857376 1566071720 1957589650 2505714752 3132143440 3915179300 4893974125 5011429504 6264286880 7830358600 9787948250 12528573760 15660717200 19575896500 24469870625 25057147520 31321434400 39151793000 48939741250 62642868800 78303586000 97879482500 125285737600 156607172000 195758965000 313214344000 391517930000 626428688000 783035860000 1566071720000 3132143440000