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140216625728656 = 241710137360722543
BaseRepresentation
bin11111111000011010111010…
…001010110000110010010000
3200101110120121201202202020121
4133320122322022300302100
5121334302122141304111
61214114343440120024
741351213461431151
oct3770327212606220
9611416551682217
10140216625728656
114074a59a869464
1213886b08306014
1360314a931c429
14268a7414a3928
151132552357871
hex7f86ba2b0c90

140216625728656 has 160 divisors (see below), whose sum is σ = 291769927815168. Its totient is φ = 65045608243200.

The previous prime is 140216625728579. The next prime is 140216625728657. The reversal of 140216625728656 is 656827526612041.

140216625728656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 140216625728594 and 140216625728603.

It is not an unprimeable number, because it can be changed into a prime (140216625728657) 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 31 ways as a sum of consecutive naturals, for example, 6219951721 + ... + 6219974263.

Almost surely, 2140216625728656 is an apocalyptic number.

140216625728656 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 140216625728656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145884963907584).

140216625728656 is an abundant number, since it is smaller than the sum of its proper divisors (151553302086512).

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

140216625728656 is a wasteful number, since it uses less digits than its factorization.

140216625728656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23649 (or 23643 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 61.

The spelling of 140216625728656 in words is "one hundred forty trillion, two hundred sixteen billion, six hundred twenty-five million, seven hundred twenty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 101 136 202 272 373 404 607 746 808 1214 1492 1616 1717 2428 2984 3434 4856 5968 6341 6868 9712 10319 12682 13736 20638 22543 25364 27472 37673 41276 45086 50728 61307 75346 82552 90172 101456 122614 150692 165104 180344 226411 245228 301384 360688 383231 452822 490456 602768 640441 766462 905644 980912 1042219 1280882 1532924 1811288 2084438 2276843 2561764 3065848 3622576 3848987 4168876 4553686 5123528 6131696 7697974 8337752 8408539 9107372 10247056 13683601 15395948 16675504 16817078 18214744 22867511 27367202 30791896 33634156 36429488 38706331 45735022 54734404 61583792 67268312 77412662 91470044 109468808 134536624 142945163 154825324 182940088 218937616 232621217 285890326 309650648 365880176 388747687 465242434 571780652 619301296 777495374 849262439 930484868 1143561304 1382043701 1554990748 1698524878 1860969736 2287122608 2764087402 3109981496 3397049756 3721939472 5103983173 5528174804 6219962992 6794099512 10207966346 11056349608 13588199024 14437461463 20415932692 22112699216 23494742917 28874922926 40831865384 46989485834 57749845852 81663730768 86767713941 93978971668 115499691704 173535427882 187957943336 230999383408 347070855764 375915886672 515502300473 694141711528 1031004600946 1388283423056 2062009201892 4124018403784 8248036807568 8763539108041 17527078216082 35054156432164 70108312864328 140216625728656