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14412204513440 = 255521557310397
BaseRepresentation
bin1101000110111001101001…
…0101001001100010100000
31220000210102022102211210122
43101232122111021202200
53342112143323412230
650352513024215412
73015150602041316
oct321563225114240
956023368384718
1014412204513440
1146571aa7a4628
12174922216a568
138070acc01576
1437b7a94880b6
1519ed63eb3be5
hexd1b9a5498a0

14412204513440 has 96 divisors (see below), whose sum is σ = 34175542406544. Its totient is φ = 5743468257280.

The previous prime is 14412204513379. The next prime is 14412204513463. The reversal of 14412204513440 is 4431540221441.

It can be written as a sum of positive squares in 8 ways, for example, as 5258747894416 + 9153456619024 = 2293196^2 + 3025468^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14412204513440.

It is an unprimeable number.

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, 46276322 + ... + 46586718.

Almost surely, 214412204513440 is an apocalyptic number.

14412204513440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14412204513440 is an abundant number, since it is smaller than the sum of its proper divisors (19763337893104).

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

14412204513440 is a wasteful number, since it uses less digits than its factorization.

14412204513440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311490 (or 311482 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 14412204513440 its reverse (4431540221441), we get a palindrome (18843744734881).

The spelling of 14412204513440 in words is "fourteen trillion, four hundred twelve billion, two hundred four million, five hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 521 557 1042 1114 2084 2228 2605 2785 4168 4456 5210 5570 8336 8912 10420 11140 16672 17824 20840 22280 41680 44560 83360 89120 290197 310397 580394 620794 1160788 1241588 1450985 1551985 2321576 2483176 2901970 3103970 4643152 4966352 5803940 6207940 9286304 9932704 11607880 12415880 23215760 24831760 46431520 49663520 161716837 172891129 323433674 345782258 646867348 691564516 808584185 864455645 1293734696 1383129032 1617168370 1728911290 2587469392 2766258064 3234336740 3457822580 5174938784 5532516128 6468673480 6915645160 12937346960 13831290320 25874693920 27662580640 90076278209 180152556418 360305112836 450381391045 720610225672 900762782090 1441220451344 1801525564180 2882440902688 3603051128360 7206102256720 14412204513440