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541143341466 = 2371310127133617
BaseRepresentation
bin1111101111111101010…
…10000001100110011010
31220201210012200000101020
413313332222001212122
532331230143411331
61052333043503310
754045015336240
oct7677652014632
91821705600336
10541143341466
11199552343942
1288a63987b36
133c050047740
141c2975b2790
15e122bb2c96
hex7dfea8199a

541143341466 has 128 divisors (see below), whose sum is σ = 1346101618176. Its totient is φ = 141214924800.

The previous prime is 541143341449. The next prime is 541143341489. The reversal of 541143341466 is 664143341145.

It is a super-2 number, since 2×5411433414662 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 149609290 + ... + 149612906.

It is an arithmetic number, because the mean of its divisors is an integer number (10516418892).

Almost surely, 2541143341466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541143341466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673050809088).

541143341466 is an abundant number, since it is smaller than the sum of its proper divisors (804958276710).

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

541143341466 is a wasteful number, since it uses less digits than its factorization.

541143341466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6456.

The product of its digits is 414720, while the sum is 42.

The spelling of 541143341466 in words is "five hundred forty-one billion, one hundred forty-three million, three hundred forty-one thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 101 182 202 273 303 546 606 707 1313 1414 2121 2626 2713 3617 3939 4242 5426 7234 7878 8139 9191 10851 16278 18382 18991 21702 25319 27573 35269 37982 47021 50638 55146 56973 70538 75957 94042 105807 113946 141063 151914 211614 246883 274013 282126 329147 365317 493766 548026 658294 730634 740649 822039 987441 1095951 1481298 1644078 1918091 1974882 2191902 2557219 3562169 3836182 4749121 5114438 5754273 7124338 7671657 9498242 9812921 10686507 11508546 14247363 15343314 19625842 21373014 24935183 28494726 29438763 33243847 49870366 58877526 66487694 68690447 74805549 99731541 127567973 137380894 149611098 199463082 206071341 255135946 382703919 412142682 765407838 892975811 991105021 1785951622 1982210042 2678927433 2973315063 5357854866 5946630126 6937735147 12884365273 13875470294 20813205441 25768730546 38653095819 41626410882 77306191638 90190556911 180381113822 270571670733 541143341466