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14996653671440 = 2457217225039821
BaseRepresentation
bin1101101000111010111000…
…1101110000010000010000
31222002122222120122021102202
43122032232031300100100
53431201121314441230
651521211222102332
73105321025650500
oct332165615602020
958078876567382
1014996653671440
114862055043391
121822550b7a9a8
1384a241b691cc
1439bbb02b9a00
151b016d9aea45
hexda3ae370410

14996653671440 has 120 divisors (see below), whose sum is σ = 42945699471192. Its totient is φ = 4839256289280.

The previous prime is 14996653671427. The next prime is 14996653671449. The reversal of 14996653671440 is 4417635669941.

It can be written as a sum of positive squares in 4 ways, for example, as 1088199476224 + 13908454195216 = 1043168^2 + 3729404^2 .

It is a super-2 number, since 2×149966536714402 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14996653671449) 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 23 ways as a sum of consecutive naturals, for example, 112453271 + ... + 112586550.

Almost surely, 214996653671440 is an apocalyptic number.

14996653671440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14996653671440 is an abundant number, since it is smaller than the sum of its proper divisors (27949045799752).

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

14996653671440 is a wasteful number, since it uses less digits than its factorization.

14996653671440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225039865 (or 225039852 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 65.

The spelling of 14996653671440 in words is "fourteen trillion, nine hundred ninety-six billion, six hundred fifty-three million, six hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 49 56 68 70 80 85 98 112 119 136 140 170 196 238 245 272 280 340 392 476 490 560 595 680 784 833 952 980 1190 1360 1666 1904 1960 2380 3332 3920 4165 4760 6664 8330 9520 13328 16660 33320 66640 225039821 450079642 900159284 1125199105 1575278747 1800318568 2250398210 3150557494 3600637136 3825676957 4500796420 6301114988 7651353914 7876393735 9001592840 11026951229 12602229976 15302707828 15752787470 18003185680 19128384785 22053902458 25204459952 26779738699 30605415656 31505574940 38256769570 44107804916 53559477398 55134756145 61210831312 63011149880 76513539140 88215609832 107118954796 110269512290 126022299760 133898693495 153027078280 176431219664 187458170893 214237909592 220539024580 267797386990 306054156560 374916341786 428475819184 441078049160 535594773980 749832683572 882156098320 937290854465 1071189547960 1499665367144 1874581708930 2142379095920 2999330734288 3749163417860 7498326835720 14996653671440