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141134586417342 = 2337787809586433
BaseRepresentation
bin100000000101110001110100…
…111000111001000010111110
3200111201100000222202100112000
4200011301310320321002332
5121444322113110323332
61220100200043323130
741504431422514440
oct4005616470710276
9614640028670460
10141134586417342
1140a73929730521
12139b49b35204a6
136099c1bb2387b
1426bcd43da2490
15114b37b574b7c
hex805c74e390be

141134586417342 has 128 divisors (see below), whose sum is σ = 359336729779200. Its totient is φ = 40223080009728.

The previous prime is 141134586417301. The next prime is 141134586417347. The reversal of 141134586417342 is 243714685431141.

141134586417342 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 3 + 4 + 586 + 4 + 17 + 3 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141134586417347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240372958 + ... + 240959390.

It is an arithmetic number, because the mean of its divisors is an integer number (2807318201400).

Almost surely, 2141134586417342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141134586417342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179668364889600).

141134586417342 is an abundant number, since it is smaller than the sum of its proper divisors (218202143361858).

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

141134586417342 is a wasteful number, since it uses less digits than its factorization.

141134586417342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588047 (or 588041 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 141134586417342 in words is "one hundred forty-one trillion, one hundred thirty-four billion, five hundred eighty-six million, four hundred seventeen thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 787 809 1574 1618 2361 2427 4722 4854 5509 5663 7083 7281 11018 11326 14166 14562 16527 16989 21249 21843 33054 33978 42498 43686 49581 50967 99162 101934 148743 152901 297486 305802 586433 636683 1172866 1273366 1759299 1910049 3518598 3820098 4105031 4456781 5277897 5730147 8210062 8913562 10555794 11460294 12315093 13370343 15833691 17190441 24630186 26740686 31667382 34380882 36945279 40111029 73890558 80222058 110835837 120333087 221671674 240666174 461522771 474424297 923045542 948848594 1384568313 1423272891 2769136626 2846545782 3230659397 3320970079 4153704939 4269818673 6461318794 6641940158 8307409878 8539637346 9691978191 9962910237 12461114817 12809456019 19383956382 19925820474 24922229634 25618912038 29075934573 29888730711 58151869146 59777461422 87227803719 89666192133 174455607438 179332384266 373371921739 746743843478 1120115765217 2240231530434 2613603452173 3360347295651 5227206904346 6720694591302 7840810356519 10081041886953 15681620713038 20162083773906 23522431069557 47044862139114 70567293208671 141134586417342