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21330440430040 = 2357233312180191
BaseRepresentation
bin1001101100110011000010…
…10100110010000111011000
32210112011121001212000200201
410312121201110302013120
510243434220222230130
6113211022525511544
74331034125052610
oct466314124620730
983464531760621
1021330440430040
1168842095a2925
122485b954125b4
13bb95b4a9c051
1453a58253ba40
1526ecc13d2bca
hex1366615321d8

21330440430040 has 64 divisors (see below), whose sum is σ = 57234473717760. Its totient is φ = 6995324561280.

The previous prime is 21330440430031. The next prime is 21330440430043. The reversal of 21330440430040 is 4003404403312.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 21330440429990 and 21330440430008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21330440430043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1656083656 + ... + 1656096535.

It is an arithmetic number, because the mean of its divisors is an integer number (894288651840).

Almost surely, 221330440430040 is an apocalyptic number.

21330440430040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21330440430040 is an abundant number, since it is smaller than the sum of its proper divisors (35904033287720).

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

21330440430040 is a wasteful number, since it uses less digits than its factorization.

21330440430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3312180232 (or 3312180228 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 21330440430040 its reverse (4003404403312), we get a palindrome (25333844833352).

The spelling of 21330440430040 in words is "twenty-one trillion, three hundred thirty billion, four hundred forty million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 3312180191 6624360382 13248720764 16560900955 23185261337 26497441528 33121801910 46370522674 66243603820 76180144393 92741045348 115926306685 132487207640 152360288786 185482090696 231852613370 304720577572 380900721965 463705226740 533261010751 609441155144 761801443930 927410453480 1066522021502 1523602887860 2133044043004 2666305053755 3047205775720 4266088086008 5332610107510 10665220215020 21330440430040