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10143224313216 = 273157490934273
BaseRepresentation
bin1001001110011010011101…
…0010000011010110000000
31022220200102202001012210120
42103212213102003112000
52312141310411010331
633323422151100240
72064552361045551
oct223464722032600
938820382035716
1010143224313216
113260798767425
1211799a9371680
1358766aa1c757
14270d12a74328
15128cadc66796
hex939a7483580

10143224313216 has 128 divisors (see below), whose sum is σ = 27120865394400. Its totient is φ = 3358756896768.

The previous prime is 10143224313203. The next prime is 10143224313221. The reversal of 10143224313216 is 61231342234101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 295936656 + ... + 295970928.

Almost surely, 210143224313216 is an apocalyptic number.

10143224313216 is a gapful number since it is divisible by the number (16) 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 10143224313216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13560432697200).

10143224313216 is an abundant number, since it is smaller than the sum of its proper divisors (16977641081184).

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

10143224313216 is a wasteful number, since it uses less digits than its factorization.

10143224313216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39356 (or 39344 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 10143224313216 its reverse (61231342234101), we get a palindrome (71374566547317).

The spelling of 10143224313216 in words is "ten trillion, one hundred forty-three billion, two hundred twenty-four million, three hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 314 384 471 628 942 1256 1884 2512 3768 4909 5024 7536 9818 10048 14727 15072 19636 20096 29454 30144 34273 39272 58908 60288 68546 78544 102819 117816 137092 157088 205638 235632 274184 314176 411276 471264 548368 628352 770713 822552 942528 1096736 1541426 1645104 1885056 2193472 2312139 3082852 3290208 4386944 4624278 5380861 6165704 6580416 9248556 10761722 12331408 13160832 16142583 18497112 21523444 24662816 32285166 36994224 43046888 49325632 64570332 73988448 86093776 98651264 129140664 147976896 168246157 172187552 258281328 295953792 336492314 344375104 504738471 516562656 672984628 688750208 1009476942 1033125312 1345969256 2018953884 2066250624 2691938512 4037907768 5383877024 8075815536 10767754048 16151631072 21535508096 26414646649 32303262144 52829293298 64606524288 79243939947 105658586596 158487879894 211317173192 316975759788 422634346384 633951519576 845268692768 1267903039152 1690537385536 2535806078304 3381074771072 5071612156608 10143224313216