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21142311625000 = 2356787921467
BaseRepresentation
bin1001100111010100100111…
…11110010110000100101000
32202212012000001022112020201
410303222103332112010220
510232343423234000000
6112544351024401544
74311324122436466
oct463522376260450
982765001275221
1021142311625000
116811449808155
1224556314762b4
13ba4933026ab7
14531416d09836
15269e6023996a
hex133a93f96128

21142311625000 has 112 divisors (see below), whose sum is σ = 49560256245600. Its totient is φ = 8455457400000.

The previous prime is 21142311624953. The next prime is 21142311625013. The reversal of 21142311625000 is 52611324112.

It is a super-2 number, since 2×211423116250002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21142311625000.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 984864267 + ... + 984885733.

Almost surely, 221142311625000 is an apocalyptic number.

21142311625000 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 21142311625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24780128122800).

21142311625000 is an abundant number, since it is smaller than the sum of its proper divisors (28417944620600).

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

21142311625000 is an frugal number, since it uses more digits than its factorization.

21142311625000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29382 (or 29353 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 21142311625000 its reverse (52611324112), we get a palindrome (21194922949112).

The spelling of 21142311625000 in words is "twenty-one trillion, one hundred forty-two billion, three hundred eleven million, six hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 7879 12500 15625 15758 21467 25000 31250 31516 39395 42934 62500 63032 78790 85868 107335 125000 157580 171736 196975 214670 315160 393950 429340 536675 787900 858680 984875 1073350 1575800 1969750 2146700 2683375 3939500 4293400 4924375 5366750 7879000 9848750 10733500 13416875 19697500 21467000 24621875 26833750 39395000 49243750 53667500 67084375 98487500 107335000 123109375 134168750 169138493 196975000 246218750 268337500 335421875 338276986 492437500 536675000 670843750 676553972 845692465 984875000 1341687500 1353107944 1691384930 2683375000 3382769860 4228462325 6765539720 8456924650 16913849300 21142311625 33827698600 42284623250 84569246500 105711558125 169138493000 211423116250 422846232500 528557790625 845692465000 1057115581250 2114231162500 2642788953125 4228462325000 5285577906250 10571155812500 21142311625000