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3143131860544 = 26132170472
BaseRepresentation
bin101101101111010001010…
…000100000111001000000
3102010110222021010011012021
4231233101100200321000
5402444113224014134
610403533532011224
7443040510666124
oct55572120407100
912113867104167
103143131860544
111001aa3aa3015
124291b0600b14
1319a51c1c3a00
14ac1b2453584
1556b603a40b4
hex2dbd1420e40

3143131860544 has 63 divisors (see below), whose sum is σ = 6754235669937. Its totient is φ = 1450591144704.

The previous prime is 3143131860481. The next prime is 3143131860553. The reversal of 3143131860544 is 4450681313413.

It is a happy number.

The square root of 3143131860544 is 1772888.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 464960334400 + 2678171526144 = 681880^2 + 1636512^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3143131860544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 184371829 + ... + 184388875.

It is an arithmetic number, because the mean of its divisors is an integer number (107210089999).

Almost surely, 23143131860544 is an apocalyptic number.

3143131860544 is the 1772888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3143131860544

3143131860544 is an abundant number, since it is smaller than the sum of its proper divisors (3611103809393).

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

3143131860544 is an frugal number, since it uses more digits than its factorization.

3143131860544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34132 (or 17062 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 3143131860544 in words is "three trillion, one hundred forty-three billion, one hundred thirty-one million, eight hundred sixty thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 10816 17047 34094 68188 136376 221611 272752 443222 545504 886444 1091008 1772888 2880943 3545776 5761886 7091552 11523772 14183104 23047544 46095088 92190176 184380352 290600209 581200418 1162400836 2324801672 3777802717 4649603344 7555605434 9299206688 15111210868 18598413376 30222421736 49111435321 60444843472 98222870642 120889686944 196445741284 241779373888 392891482568 785782965136 1571565930272 3143131860544