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141525413225316 = 223353128319271173
BaseRepresentation
bin100000001011011101110011…
…111110110110001101100100
3200120002200211101100021201000
4200023131303332312031210
5122022223021241202231
61220555513254233300
741544605446542411
oct4013356376661544
9616080741307630
10141525413225316
114110465522998a
1213a586a6655830
1360c7a34b52723
1426d3c1bb49108
1511566029806e6
hex80b773fb6364

141525413225316 has 96 divisors (see below), whose sum is σ = 374132113729920. Its totient is φ = 46248962767488.

The previous prime is 141525413225303. The next prime is 141525413225327. The reversal of 141525413225316 is 613522314525141.

141525413225316 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 2 + 5 + 4 + 1 + 322 + 5 + 316 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2291695 + ... + 16979478.

It is an arithmetic number, because the mean of its divisors is an integer number (3897209518020).

Almost surely, 2141525413225316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141525413225316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187066056864960).

141525413225316 is an abundant number, since it is smaller than the sum of its proper divisors (232606700504604).

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

141525413225316 is a wasteful number, since it uses less digits than its factorization.

141525413225316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19272522 (or 19272514 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 141525413225316 in words is "one hundred forty-one trillion, five hundred twenty-five billion, four hundred thirteen million, two hundred twenty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1283 1431 1908 2566 2862 3849 5132 5724 7698 11547 15396 23094 34641 46188 67999 69282 135998 138564 203997 271996 407994 611991 815988 1223982 1835973 2447964 3671946 7343892 19271173 38542346 57813519 77084692 115627038 173440557 231254076 346881114 520321671 693762228 1021372169 1040643342 2042744338 2081286684 3064116507 4085488676 6128233014 9192349521 12256466028 18384699042 24724914959 27577048563 36769398084 49449829918 55154097126 74174744877 98899659836 110308194252 148349489754 222524234631 296698979508 445048469262 667572703893 890096938524 1310420492827 1335145407786 2620840985654 2670290815572 3931261478481 5241681971308 7862522956962 11793784435443 15725045913924 23587568870886 35381353306329 47175137741772 70762706612658 141525413225316