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14434023023040 = 2635101148865749
BaseRepresentation
bin1101001000001010111011…
…0100001010000111000000
31220002212201212210222020210
43102002232310022013000
53342441334343214130
650410522034434120
73016552355233425
oct322025664120700
956085655728223
1014434023023040
11466548677a845
1217514b1132940
1380917927a18a
1437c8790a3d4c
151a06de6e25b0
hexd20aed0a1c0

14434023023040 has 112 divisors (see below), whose sum is σ = 46281766212000. Its totient is φ = 3810963148800.

The previous prime is 14434023023011. The next prime is 14434023023047. The reversal of 14434023023040 is 4032032043441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14434023022989 and 14434023023007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14434023023047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 74335915 + ... + 74529834.

Almost surely, 214434023023040 is an apocalyptic number.

14434023023040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14434023023040 is an abundant number, since it is smaller than the sum of its proper divisors (31847743188960).

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

14434023023040 is a wasteful number, since it uses less digits than its factorization.

14434023023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148865870 (or 148865860 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 14434023023040 its reverse (4032032043441), we get a palindrome (18466055066481).

The spelling of 14434023023040 in words is "fourteen trillion, four hundred thirty-four billion, twenty-three million, twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 101 120 160 192 202 240 303 320 404 480 505 606 808 960 1010 1212 1515 1616 2020 2424 3030 3232 4040 4848 6060 6464 8080 9696 12120 16160 19392 24240 32320 48480 96960 148865749 297731498 446597247 595462996 744328745 893194494 1190925992 1488657490 1786388988 2232986235 2381851984 2977314980 3572777976 4465972470 4763703968 5954629960 7145555952 8931944940 9527407936 11909259920 14291111904 15035440649 17863889880 23818519840 28582223808 30070881298 35727779760 45106321947 47637039680 60141762596 71455559520 75177203245 90212643894 120283525192 142911119040 150354406490 180425287788 225531609735 240567050384 300708812980 360850575576 451063219470 481134100768 601417625960 721701151152 902126438940 962268201536 1202835251920 1443402302304 1804252877880 2405670503840 2886804604608 3608505755760 4811341007680 7217011511520 14434023023040