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14220322440 = 233561231847
BaseRepresentation
bin11010011111001100…
…01110011010001000
31100201001001020010220
431033212032122020
5213110400304230
610311022510040
71012251514002
oct151746163210
940631036126
1014220322440
1160380017a5
12290a435320
13145816029c
1498c869372
15583653d10
hex34f98e688

14220322440 has 96 divisors (see below), whose sum is σ = 43373154240. Its totient is φ = 3729803520.

The previous prime is 14220322427. The next prime is 14220322451. The reversal of 14220322440 is 4422302241.

14220322440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14220322440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430597 + ... + 462443.

It is an arithmetic number, because the mean of its divisors is an integer number (451803690).

Almost surely, 214220322440 is an apocalyptic number.

14220322440 is a gapful number since it is divisible by the number (10) 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 14220322440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21686577120).

14220322440 is an abundant number, since it is smaller than the sum of its proper divisors (29152831800).

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

14220322440 is a wasteful number, since it uses less digits than its factorization.

14220322440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31983 (or 31918 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14220322440 its reverse (4422302241), we get a palindrome (18642624681).

The spelling of 14220322440 in words is "fourteen billion, two hundred twenty million, three hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 2440 3660 3721 7320 7442 11163 14884 18605 22326 29768 31847 37210 44652 55815 63694 74420 89304 95541 111630 127388 148840 159235 191082 223260 254776 318470 382164 446520 477705 636940 764328 955410 1273880 1910820 1942667 3821640 3885334 5828001 7770668 9713335 11656002 15541336 19426670 23312004 29140005 38853340 46624008 58280010 77706680 116560020 118502687 233120040 237005374 355508061 474010748 592513435 711016122 948021496 1185026870 1422032244 1777540305 2370053740 2844064488 3555080610 4740107480 7110161220 14220322440