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21340114224 = 24311133108991
BaseRepresentation
bin10011110111111110…
…000100110100110000
32001002020012010100220
4103313332010310300
5322201032123344
613445320413040
71353553656312
oct236776046460
961066163326
1021340114224
119060a35740
124176917180
132021219430
1410662897b2
1584d731c19
hex4f7f84d30

21340114224 has 80 divisors (see below), whose sum is σ = 64766521344. Its totient is φ = 5969260800.

The previous prime is 21340114223. The next prime is 21340114247. The reversal of 21340114224 is 42241104312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 21340114194 and 21340114203.

It is not an unprimeable number, because it can be changed into a prime (21340114223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1547632 + ... + 1561359.

Almost surely, 221340114224 is an apocalyptic number.

21340114224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21340114224 is an abundant number, since it is smaller than the sum of its proper divisors (43426407120).

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

21340114224 is a wasteful number, since it uses less digits than its factorization.

21340114224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109026 (or 3109020 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21340114224 its reverse (42241104312), we get a palindrome (63581218536).

The spelling of 21340114224 in words is "twenty-one billion, three hundred forty million, one hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 3108991 6217982 9326973 12435964 18653946 24871928 34198901 37307892 40416883 49743856 68397802 74615784 80833766 102596703 121250649 136795604 149231568 161667532 205193406 242501298 273591208 323335064 410386812 444585713 485002596 547182416 646670128 820773624 889171426 970005192 1333757139 1641547248 1778342852 1940010384 2667514278 3556685704 5335028556 7113371408 10670057112 21340114224