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14010123440320 = 265749912534107
BaseRepresentation
bin1100101111011111110001…
…1011100101000011000000
31211121100120120222000011121
43023313330123211003000
53314020213100042240
645444054543322024
72644124630232610
oct313677433450300
954540516860147
1014010123440320
114511729491197
1216a3309bb0314
137a81c23a1217
14366144b64a40
1519467ea4104a
hexcbdfc6e50c0

14010123440320 has 112 divisors (see below), whose sum is σ = 38203961184000. Its totient is φ = 4793844317184.

The previous prime is 14010123440317. The next prime is 14010123440321. The reversal of 14010123440320 is 2304432101041.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (14010123440321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5149294 + ... + 7384813.

Almost surely, 214010123440320 is an apocalyptic number.

14010123440320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14010123440320 is an abundant number, since it is smaller than the sum of its proper divisors (24193837743680).

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

14010123440320 is a wasteful number, since it uses less digits than its factorization.

14010123440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12534630 (or 12534620 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 14010123440320 its reverse (2304432101041), we get a palindrome (16314555541361).

The spelling of 14010123440320 in words is "fourteen trillion, ten billion, one hundred twenty-three million, four hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 499 560 998 1120 1996 2240 2495 3493 3992 4990 6986 7984 9980 13972 15968 17465 19960 27944 31936 34930 39920 55888 69860 79840 111776 139720 159680 223552 279440 558880 1117760 12534107 25068214 50136428 62670535 87738749 100272856 125341070 175477498 200545712 250682140 350954996 401091424 438693745 501364280 701909992 802182848 877387490 1002728560 1403819984 1754774980 2005457120 2807639968 3509549960 4010914240 5615279936 6254519393 7019099920 12509038786 14038199840 25018077572 28076399680 31272596965 43781635751 50036155144 62545193930 87563271502 100072310288 125090387860 175126543004 200144620576 218908178755 250180775720 350253086008 400289241152 437816357510 500361551440 700506172016 875632715020 1000723102880 1401012344032 1751265430040 2001446205760 2802024688064 3502530860080 7005061720160 14010123440320