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141885816617466 = 232191373478726957
BaseRepresentation
bin100000010000101101011101…
…101100101011100111111010
3200121101011002111220120012100
4200100231131230223213322
5122044124123023224331
61221433235545524230
741612624543043135
oct4020553554534772
9617334074816170
10141885816617466
1141233489585789
1213ab6508aa3676
136122a0cb69a9c
14270744b14921c
151160b97ec5ae6
hex810b5db2b9fa

141885816617466 has 96 divisors (see below), whose sum is σ = 326900676173760. Its totient is φ = 44350809285888.

The previous prime is 141885816617437. The next prime is 141885816617483. The reversal of 141885816617466 is 664716618588141.

It is a happy number.

141885816617466 is a `hidden beast` number, since 1 + 4 + 1 + 8 + 85 + 81 + 6 + 6 + 1 + 7 + 466 = 666.

It is a super-2 number, since 2×1418858166174662 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141885816617394 and 141885816617403.

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, 11894860 + ... + 20621816.

It is an arithmetic number, because the mean of its divisors is an integer number (3405215376810).

Almost surely, 2141885816617466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141885816617466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163450338086880).

141885816617466 is an abundant number, since it is smaller than the sum of its proper divisors (185014859556294).

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

141885816617466 is a wasteful number, since it uses less digits than its factorization.

141885816617466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8727468 (or 8727465 counting only the distinct ones).

The product of its digits is 371589120, while the sum is 72.

The spelling of 141885816617466 in words is "one hundred forty-one trillion, eight hundred eighty-five billion, eight hundred sixteen million, six hundred seventeen thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 137 171 274 342 347 411 694 822 1041 1233 2082 2466 2603 3123 5206 6246 6593 7809 13186 15618 19779 23427 39558 46854 47539 59337 95078 118674 142617 285234 427851 855702 903241 1806482 2709723 5419446 8129169 8726957 16258338 17453914 26180871 52361742 78542613 157085226 165812183 331624366 497436549 994873098 1195593109 1492309647 2391186218 2984619294 3028254079 3586779327 6056508158 7173558654 9084762237 10760337981 18169524474 21520675962 22716269071 27254286711 45432538142 54508573422 57536827501 68148807213 115073655002 136297614426 172610482503 204446421639 345220965006 408892843278 414870808823 517831447509 829741617646 1035662895018 1244612426469 2489224852938 3733837279407 7467674558814 7882545367637 15765090735274 23647636102911 47295272205822 70942908308733 141885816617466