Search a number
-
+
321310442042000 = 2453590212722001
BaseRepresentation
bin100100100001110101110101…
…0110000101011001010010000
31120010122222102011022020111022
41021003223222300223022100
5314103322241130321000
63055211551311135012
7124451625200211455
oct11103535260531220
91503588364266438
10321310442042000
1193419aa1a94424
1230054148b14468
1310a395a1c41b58
14594b718d8b82c
15272304e1e3585
hex1243aeac2b290

321310442042000 has 80 divisors (see below), whose sum is σ = 776942097884784. Its totient is φ = 128521952000000.

The previous prime is 321310442041957. The next prime is 321310442042041. The reversal of 321310442042000 is 240244013123.

It can be written as a sum of positive squares in 8 ways, for example, as 144621693567376 + 176688748474624 = 12025876^2 + 13292432^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3213104420420002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116681000 + ... + 119403000.

Almost surely, 2321310442042000 is an apocalyptic number.

It is an amenable number.

321310442042000 is an abundant number, since it is smaller than the sum of its proper divisors (455631655842784).

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

321310442042000 is a wasteful number, since it uses less digits than its factorization.

321310442042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781045 (or 2781029 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 321310442042000 its reverse (240244013123), we get a palindrome (321550686055123).

The spelling of 321310442042000 in words is "three hundred twenty-one trillion, three hundred ten billion, four hundred forty-two million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 59021 118042 236084 295105 472168 590210 944336 1180420 1475525 2360840 2722001 2951050 4721680 5444002 5902100 7377625 10888004 11804200 13610005 14755250 21776008 23608400 27220010 29510500 43552016 54440020 59021000 68050025 108880040 118042000 136100050 217760080 272200100 340250125 544400200 680500250 1088800400 1361000500 2722001000 5444002000 160655221021 321310442042 642620884084 803276105105 1285241768168 1606552210210 2570483536336 3213104420420 4016380525525 6426208840840 8032761051050 12852417681680 16065522102100 20081902627625 32131044204200 40163805255250 64262088408400 80327610510500 160655221021000 321310442042000