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6142466455312 = 24111132833972749
BaseRepresentation
bin101100101100010011110…
…0001111111011100010000
3210202012210001022100021011
41121120213201333130100
51301114232403032222
621021450553340304
71202531021255245
oct131304741773420
923665701270234
106142466455312
111a590071a8a10
1283254b707694
13357302c079b5
14173422c195cc
15a9ba64aac77
hex5962787f710

6142466455312 has 160 divisors (see below), whose sum is σ = 13182017904000. Its totient is φ = 2749596917760.

The previous prime is 6142466455309. The next prime is 6142466455357. The reversal of 6142466455312 is 2135546642416.

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, 2234435314 + ... + 2234438062.

It is an arithmetic number, because the mean of its divisors is an integer number (82387611900).

Almost surely, 26142466455312 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 6142466455312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6591008952000).

6142466455312 is an abundant number, since it is smaller than the sum of its proper divisors (7039551448688).

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

6142466455312 is a wasteful number, since it uses less digits than its factorization.

6142466455312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3561 (or 3555 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 49.

The spelling of 6142466455312 in words is "six trillion, one hundred forty-two billion, four hundred sixty-six million, four hundred fifty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 113 176 226 283 397 452 566 794 904 1132 1243 1588 1808 2264 2486 2749 3113 3176 4367 4528 4972 5498 6226 6352 8734 9944 10996 12452 17468 19888 21992 24904 30239 31979 34936 43984 44861 49808 60478 63958 69872 89722 112351 120956 127916 179444 224702 241912 255832 310637 351769 358888 449404 483824 493471 511664 621274 703538 717776 777967 898808 986942 1091353 1235861 1242548 1407076 1555934 1797616 1973884 2182706 2471722 2485096 2814152 3111868 3417007 3947768 4365412 4943444 4970192 5628304 6223736 6834014 7895536 8557637 8730824 9886888 12004883 12447472 12695663 13668028 17115274 17461648 19773776 24009766 25391326 27336056 34230548 48019532 50782652 54672112 68461096 87910271 96039064 101565304 123322889 136922192 139652293 175820542 192078128 203130608 246645778 279304586 308852899 351641084 493291556 558609172 617705798 703282168 967012981 986583112 1117218344 1235411596 1356551779 1406564336 1934025962 1973166224 2234436688 2470823192 2713103558 3397381889 3868051924 4941646384 5426207116 6794763778 7736103848 10852414232 13589527556 15472207696 21704828464 27179055112 34900377587 54358110224 69800755174 139601510348 279203020696 383904153457 558406041392 767808306914 1535616613828 3071233227656 6142466455312