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141131343201312 = 25319152423507631
BaseRepresentation
bin100000000101101110110011…
…100101000000010000100000
3200111201000122222001220111210
4200011232303211000100200
5121444243442324420222
61220054502150110120
741504255151603222
oct4005566345002040
9614630588056453
10141131343201312
1140a72514a502a2
12139b424934b340
136099822c33729
1426bcb17368412
15114b23b98bd0c
hex805bb3940420

141131343201312 has 96 divisors (see below), whose sum is σ = 389971511838720. Its totient is φ = 44567412399360.

The previous prime is 141131343201287. The next prime is 141131343201377. The reversal of 141131343201312 is 213102343131141.

It is a happy number.

141131343201312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 141131343201312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277765737 + ... + 278273367.

It is an arithmetic number, because the mean of its divisors is an integer number (4062203248320).

Almost surely, 2141131343201312 is an apocalyptic number.

141131343201312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141131343201312 is an abundant number, since it is smaller than the sum of its proper divisors (248840168637408).

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

141131343201312 is a wasteful number, since it uses less digits than its factorization.

141131343201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660086 (or 660078 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 141131343201312 its reverse (213102343131141), we get a palindrome (354233686332453).

The spelling of 141131343201312 in words is "one hundred forty-one trillion, one hundred thirty-one billion, three hundred forty-three million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 152423 304846 457269 507631 609692 914538 1015262 1219384 1522893 1829076 2030524 2438768 2896037 3045786 3658152 4061048 4877536 5792074 6091572 7316304 8122096 8688111 9644989 11584148 12183144 14632608 16244192 17376222 19289978 23168296 24366288 28934967 34752444 38579956 46336592 48732576 57869934 69504888 77159912 92673184 115739868 139009776 154319824 231479736 278019552 308639648 462959472 925918944 77374639913 154749279826 232123919739 309498559652 464247839478 618997119304 928495678956 1237994238608 1470118158347 1856991357912 2475988477216 2940236316694 3713982715824 4410354475041 5880472633388 7427965431648 8820708950082 11760945266776 17641417900164 23521890533552 35282835800328 47043781067104 70565671600656 141131343201312