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14120100323056 = 2471347868923747
BaseRepresentation
bin1100110101111001011110…
…0100000101111011110000
31211222212110001212111121201
43031132113210011323300
53322320431140314211
650010403505500544
72655100151302030
oct315362744057360
954885401774551
1014120100323056
114554334581a22
1217006a1041754
137b569ab65b70
1436b5b8c4b8c0
15197469abe0c1
hexcd797905ef0

14120100323056 has 160 divisors (see below), whose sum is σ = 34392818718720. Its totient is φ = 5466263851008.

The previous prime is 14120100323041. The next prime is 14120100323099. The reversal of 14120100323056 is 65032300102141.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594593775 + ... + 594617521.

It is an arithmetic number, because the mean of its divisors is an integer number (214955116992).

Almost surely, 214120100323056 is an apocalyptic number.

14120100323056 is a gapful number since it is divisible by the number (16) 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 14120100323056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17196409359360).

14120100323056 is an abundant number, since it is smaller than the sum of its proper divisors (20272718395664).

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

14120100323056 is a wasteful number, since it uses less digits than its factorization.

14120100323056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32511 (or 32505 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 14120100323056 its reverse (65032300102141), we get a palindrome (79152400425197).

The spelling of 14120100323056 in words is "fourteen trillion, one hundred twenty billion, one hundred million, three hundred twenty-three thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 47 52 56 91 94 104 112 182 188 208 329 364 376 611 658 728 752 1222 1316 1456 2444 2632 4277 4888 5264 8554 8689 9776 17108 17378 23747 34216 34756 47494 60823 68432 69512 94988 112957 121646 139024 166229 189976 225914 243292 308711 332458 379952 408383 451828 486584 617422 664916 790699 816766 903656 973168 1116109 1234844 1329832 1581398 1633532 1807312 2160977 2232218 2469688 2659664 2858681 3162796 3267064 4321954 4464436 4939376 5308979 5717362 6325592 6534128 7812763 8643908 8928872 10617958 11434724 12651184 14509417 15625526 17287816 17857744 21235916 22869448 29018834 31251052 34575632 37162853 42471832 45738896 58037668 62502104 74325706 84943664 101565919 116075336 125004208 148651412 203131838 206337683 232150672 297302824 406263676 412675366 594605648 812527352 825350732 1444363781 1625054704 1650701464 2682389879 2888727562 3301402928 5364779758 5777455124 9697871101 10729559516 11554910248 18776729153 19395742202 21459119032 23109820496 37553458306 38791484404 42918238064 67885097707 75106916612 77582968808 126072324313 135770195414 150213833224 155165937616 252144648626 271540390828 300427666448 504289297252 543080781656 882506270191 1008578594504 1086161563312 1765012540382 2017157189008 3530025080764 7060050161528 14120100323056