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2141443410320 = 245113421562673
BaseRepresentation
bin11111001010010111111…
…110010100100110010000
321120201102212120120102202
4133022113332110212100
5240041134003112240
64315433204102332
7310466651440514
oct37122776244620
97521385516382
102141443410320
117561a9a83515
122a70390949a8
13126c251939c6
1475909a90144
153aa857bb315
hex1f297f94990

2141443410320 has 80 divisors (see below), whose sum is σ = 5034856467312. Its totient is φ = 846978908160.

The previous prime is 2141443410317. The next prime is 2141443410331. The reversal of 2141443410320 is 230143441412.

It can be written as a sum of positive squares in 8 ways, for example, as 1598616324496 + 542827085824 = 1264364^2 + 736768^2 .

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

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, 3524504 + ... + 4087176.

Almost surely, 22141443410320 is an apocalyptic number.

2141443410320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141443410320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517428233656).

2141443410320 is an abundant number, since it is smaller than the sum of its proper divisors (2893413056992).

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

2141443410320 is a wasteful number, since it uses less digits than its factorization.

2141443410320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563220 (or 563214 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 2141443410320 its reverse (230143441412), we get a palindrome (2371586851732).

The spelling of 2141443410320 in words is "two trillion, one hundred forty-one billion, four hundred forty-three million, four hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 421 452 565 842 904 1130 1684 1808 2105 2260 3368 4210 4520 6736 8420 9040 16840 33680 47573 95146 190292 237865 380584 475730 562673 761168 951460 1125346 1902920 2250692 2813365 3805840 4501384 5626730 9002768 11253460 22506920 45013840 63582049 127164098 236885333 254328196 317910245 473770666 508656392 635820490 947541332 1017312784 1184426665 1271640980 1895082664 2368853330 2543281960 3790165328 4737706660 5086563920 9475413320 18950826640 26768042629 53536085258 107072170516 133840213145 214144341032 267680426290 428288682064 535360852580 1070721705160 2141443410320