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3140143066000 = 245317521177269
BaseRepresentation
bin101101101100011111000…
…111001010101110010000
3102010012020222011122212001
4231230133013022232100
5402422003111103000
610402321203443344
7442603446443323
oct55543707125620
912105228148761
103140143066000
1110007aa996486
124286b7686554
1319a163c33925
14abdab5267ba
1556a37cc546a
hex2db1f1cab90

3140143066000 has 160 divisors (see below), whose sum is σ = 8054981457120. Its totient is φ = 1179895808000.

The previous prime is 3140143065967. The next prime is 3140143066037. The reversal of 3140143066000 is 6603410413.

It can be written as a sum of positive squares in 16 ways, for example, as 2503951782544 + 636191283456 = 1582388^2 + 797616^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3140143066000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17625366 + ... + 17802634.

It is an arithmetic number, because the mean of its divisors is an integer number (50343634107).

Almost surely, 23140143066000 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 3140143066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027490728560).

3140143066000 is an abundant number, since it is smaller than the sum of its proper divisors (4914838391120).

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

3140143066000 is a wasteful number, since it uses less digits than its factorization.

3140143066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177830 (or 177814 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 3140143066000 its reverse (6603410413), we get a palindrome (3146746476413).

The spelling of 3140143066000 in words is "three trillion, one hundred forty billion, one hundred forty-three million, sixty-six thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 521 680 850 1000 1042 1360 1700 2000 2084 2125 2605 3400 4168 4250 5210 6800 8336 8500 8857 10420 13025 17000 17714 20840 26050 34000 35428 41680 44285 52100 65125 70856 88570 104200 130250 141712 177140 177269 208400 221425 260500 354280 354538 442850 521000 708560 709076 885700 886345 1042000 1107125 1418152 1771400 1772690 2214250 2836304 3013573 3542800 3545380 4428500 4431725 6027146 7090760 8857000 8863450 12054292 14181520 15067865 17714000 17726900 22158625 24108584 30135730 35453800 44317250 48217168 60271460 70907600 75339325 88634500 92357149 120542920 150678650 177269000 184714298 241085840 301357300 354538000 369428596 376696625 461785745 602714600 738857192 753393250 923571490 1205429200 1477714384 1506786500 1570071533 1847142980 2308928725 3013573000 3140143066 3694285960 4617857450 6027146000 6280286132 7388571920 7850357665 9235714900 11544643625 12560572264 15700715330 18471429800 23089287250 25121144528 31401430660 36942859600 39251788325 46178574500 62802861320 78503576650 92357149000 125605722640 157007153300 184714298000 196258941625 314014306600 392517883250 628028613200 785035766500 1570071533000 3140143066000