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14160708508672 = 210112241474223
BaseRepresentation
bin1100111000010000110000…
…0000000001110000000000
31212010202021010100001221101
43032010030000001300000
53324002112334234142
650041201212104144
72661035362213525
oct316041400016000
955122233301841
1014160708508672
11456a582869900
121708534765054
137b946cc1ba6b
1436d54c0d314c
15198544b8e0b7
hexce10c001c00

14160708508672 has 132 divisors (see below), whose sum is σ = 31244125890208. Its totient is φ = 6409963929600.

The previous prime is 14160708508669. The next prime is 14160708508679. The reversal of 14160708508672 is 27680580706141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14160708508679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29623753 + ... + 30097975.

Almost surely, 214160708508672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14160708508672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15622062945104).

14160708508672 is an abundant number, since it is smaller than the sum of its proper divisors (17083417381536).

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

14160708508672 is a wasteful number, since it uses less digits than its factorization.

14160708508672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474506 (or 474477 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 55.

The spelling of 14160708508672 in words is "fourteen trillion, one hundred sixty billion, seven hundred eight million, five hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 241 242 256 352 482 484 512 704 964 968 1024 1408 1928 1936 2651 2816 3856 3872 5302 5632 7712 7744 10604 11264 15424 15488 21208 29161 30848 30976 42416 58322 61696 61952 84832 116644 123392 123904 169664 233288 246784 339328 466576 474223 678656 933152 948446 1357312 1866304 1896892 2714624 3732608 3793784 5216453 7465216 7587568 10432906 14930432 15175136 20865812 29860864 30350272 41731624 57380983 60700544 83463248 114287743 114761966 121401088 166926496 228575486 229523932 242802176 333852992 457150972 459047864 485604352 667705984 914301944 918095728 1257165173 1335411968 1828603888 1836191456 2514330346 2670823936 3657207776 3672382912 5028660692 5341647872 7314415552 7344765824 10057321384 13828816903 14628831104 14689531648 20114642768 27657633806 29257662208 29379063296 40229285536 55315267612 58515324416 58758126592 80458571072 110630535224 117030648832 160917142144 221261070448 321834284288 442522140896 643668568576 885044281792 1287337137152 1770088563584 3540177127168 7080354254336 14160708508672