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141052217346 = 23323457248509
BaseRepresentation
bin1000001101011101011…
…1100000100000000010
3111111002011122001121000
42003113113200200002
54302333331423341
6144444250312430
713122256031235
oct2032727404002
9444064561530
10141052217346
1154902332657
1223406128716
13103bb882901
146b8128d41c
153a082b98b6
hex20d75e0802

141052217346 has 64 divisors (see below), whose sum is σ = 327794630400. Its totient is φ = 44874580608.

The previous prime is 141052217321. The next prime is 141052217353. The reversal of 141052217346 is 643712250141.

141052217346 is a `hidden beast` number, since 14 + 10 + 522 + 1 + 73 + 46 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 141052217346.

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, 443340 + ... + 691848.

It is an arithmetic number, because the mean of its divisors is an integer number (5121791100).

Almost surely, 2141052217346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141052217346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163897315200).

141052217346 is an abundant number, since it is smaller than the sum of its proper divisors (186742413054).

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

141052217346 is a wasteful number, since it uses less digits than its factorization.

141052217346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249000 (or 248994 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 141052217346 its reverse (643712250141), we get a palindrome (784764467487).

The spelling of 141052217346 in words is "one hundred forty-one billion, fifty-two million, two hundred seventeen thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 457 621 914 1242 1371 2742 4113 8226 10511 12339 21022 24678 31533 63066 94599 189198 248509 283797 497018 567594 745527 1491054 2236581 4473162 5715707 6709743 11431414 13419486 17147121 34294242 51441363 102882726 113568613 154324089 227137226 308648178 340705839 681411678 1022117517 2044235034 2612078099 3066352551 5224156198 6132705102 7836234297 15672468594 23508702891 47017405782 70526108673 141052217346