Search a number
-
+
141034314111432 = 23371078099698023
BaseRepresentation
bin100000000100010100011100…
…001100011001100111001000
3200111100202012211201102210020
4200010110130030121213020
5121441201233403031212
61215542134112020440
741464251531132240
oct4004243414314710
9614322184642706
10141034314111432
1140a35353616a15
121399948a531720
13609062ba91891
1426b8150adab20
15114895d49bd8c
hex80451c3199c8

141034314111432 has 128 divisors (see below), whose sum is σ = 407223906969600. Its totient is φ = 39869577036288.

The previous prime is 141034314111391. The next prime is 141034314111463. The reversal of 141034314111432 is 234111413430141.

It is a junction number, because it is equal to n+sod(n) for n = 141034314111393 and 141034314111402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9693573 + ... + 19391595.

It is an arithmetic number, because the mean of its divisors is an integer number (3181436773200).

Almost surely, 2141034314111432 is an apocalyptic number.

141034314111432 is a gapful number since it is divisible by the number (12) 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 141034314111432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203611953484800).

141034314111432 is an abundant number, since it is smaller than the sum of its proper divisors (266189592858168).

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

141034314111432 is a wasteful number, since it uses less digits than its factorization.

141034314111432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9698955 (or 9698951 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 141034314111432 its reverse (234111413430141), we get a palindrome (375145727541573).

The spelling of 141034314111432 in words is "one hundred forty-one trillion, thirty-four billion, three hundred fourteen million, one hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 107 168 214 321 428 642 749 809 856 1284 1498 1618 2247 2427 2568 2996 3236 4494 4854 5663 5992 6472 8988 9708 11326 16989 17976 19416 22652 33978 45304 67956 86563 135912 173126 259689 346252 519378 605941 692504 1038756 1211882 1817823 2077512 2423764 3635646 4847528 7271292 9698023 14542584 19396046 29094069 38792092 58188138 67886161 77584184 116376276 135772322 203658483 232752552 271544644 407316966 543089288 814633932 1037688461 1629267864 2075376922 3113065383 4150753844 6226130766 7263819227 7845700607 8301507688 12452261532 14527638454 15691401214 21791457681 23537101821 24904523064 29055276908 31382802428 43582915362 47074203642 54919904249 58110553816 62765604856 87165830724 94148407284 109839808498 164759712747 174331661448 188296814568 219679616996 329519425494 439359233992 659038850988 839489964949 1318077701976 1678979929898 2518469894847 3357959859796 5036939789694 5876429754643 6715919719592 10073879579388 11752859509286 17629289263929 20147759158776 23505719018572 35258578527858 47011438037144 70517157055716 141034314111432