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213124443440 = 245103113991847
BaseRepresentation
bin1100011001111100110…
…1001110110100110000
3202101010000020111021012
43012133031032310300
511442434324142230
6241524044250052
721253264610336
oct3063715166460
9671100214235
10213124443440
1182427212877
123537ab40928
131713641243c
14a45b1a1b56
1558257a8395
hex319f34ed30

213124443440 has 80 divisors (see below), whose sum is σ = 496618214400. Its totient is φ = 85060135680.

The previous prime is 213124443419. The next prime is 213124443479. The reversal of 213124443440 is 44344421312.

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

It is a junction number, because it is equal to n+sod(n) for n = 213124443397 and 213124443406.

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, 115388597 + ... + 115390443.

It is an arithmetic number, because the mean of its divisors is an integer number (6207727680).

Almost surely, 2213124443440 is an apocalyptic number.

213124443440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213124443440 is an abundant number, since it is smaller than the sum of its proper divisors (283493770960).

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

213124443440 is a wasteful number, since it uses less digits than its factorization.

213124443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4290 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 213124443440 its reverse (44344421312), we get a palindrome (257468864752).

The spelling of 213124443440 in words is "two hundred thirteen billion, one hundred twenty-four million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1031 1399 1847 2062 2798 3694 4124 5155 5596 6995 7388 8248 9235 10310 11192 13990 14776 16496 18470 20620 22384 27980 29552 36940 41240 55960 73880 82480 111920 147760 1442369 1904257 2583953 2884738 3808514 5167906 5769476 7211845 7617028 9521285 10335812 11538952 12919765 14423690 15234056 19042570 20671624 23077904 25839530 28847380 30468112 38085140 41343248 51679060 57694760 76170280 103358120 115389520 152340560 206716240 2664055543 5328111086 10656222172 13320277715 21312444344 26640555430 42624888688 53281110860 106562221720 213124443440