Search a number
-
+
40134824885166 = 231121223321714051
BaseRepresentation
bin10010010000000100111011…
…11110101111101110101110
312021002211222221201211002220
421020002131332233232232
520230032110132311131
6221205403425300210
711311434242464464
oct1110023576575656
9167084887654086
1040134824885166
11118740a1375900
124602493794666
13195190bc4771b
149ca7706a0834
15498eeb445e96
hex24809dfafbae

40134824885166 has 96 divisors (see below), whose sum is σ = 88336153753344. Its totient is φ = 12147481632000.

The previous prime is 40134824885149. The next prime is 40134824885201. The reversal of 40134824885166 is 66158842843104.

It is a super-2 number, since 2×401348248851662 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2856360841 + ... + 2856374891.

It is an arithmetic number, because the mean of its divisors is an integer number (920168268264).

Almost surely, 240134824885166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40134824885166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44168076876672).

40134824885166 is an abundant number, since it is smaller than the sum of its proper divisors (48201328868178).

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

40134824885166 is a wasteful number, since it uses less digits than its factorization.

40134824885166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18518 (or 18507 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 60.

The spelling of 40134824885166 in words is "forty trillion, one hundred thirty-four billion, eight hundred twenty-four million, eight hundred eighty-five thousand, one hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1223 2446 3217 3669 6434 7338 9651 13453 14051 19302 26906 28102 35387 40359 42153 70774 80718 84306 106161 147983 154561 212322 295966 309122 389257 443949 463683 778514 887898 927366 1167771 1700171 2335542 3400342 3934391 5100513 7868782 10201026 11803173 17184373 23606346 34368746 43278301 45202067 51553119 86556602 90404134 103106238 129834903 135606201 189028103 259669806 271212402 378056206 476061311 497222737 567084309 952122622 994445474 1134168618 1428183933 1491668211 2079309133 2856367866 2983336422 4158618266 5469450107 6237927399 10938900214 12475854798 16408350321 32816700642 55282127941 110564255882 165846383823 331692767646 608103407351 1216206814702 1824310222053 3648620444106 6689137480861 13378274961722 20067412442583 40134824885166