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141305352 = 23341163881
BaseRepresentation
bin10000110110000…
…10011000001000
3100211220001111120
420123002120020
5242133232402
622004355240
73334034646
oct1033023010
9324801446
10141305352
1172843891
123b3a5b20
1323376546
1414aa4196
15c6133bc
hex86c2608

141305352 has 64 divisors (see below), whose sum is σ = 364512960. Its totient is φ = 45619200.

The previous prime is 141305321. The next prime is 141305357. The reversal of 141305352 is 253503141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (141305357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159952 + ... + 160832.

It is an arithmetic number, because the mean of its divisors is an integer number (5695515).

Almost surely, 2141305352 is an apocalyptic number.

141305352 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 141305352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182256480).

141305352 is an abundant number, since it is smaller than the sum of its proper divisors (223207608).

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

141305352 is a wasteful number, since it uses less digits than its factorization.

141305352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 141305352 is about 11887.1927720551. The cubic root of 141305352 is about 520.8582375690.

Adding to 141305352 its reverse (253503141), we get a palindrome (394808493).

The spelling of 141305352 in words is "one hundred forty-one million, three hundred five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 163 164 246 326 328 489 492 652 881 978 984 1304 1762 1956 2643 3524 3912 5286 6683 7048 10572 13366 20049 21144 26732 36121 40098 53464 72242 80196 108363 143603 144484 160392 216726 287206 288968 430809 433452 574412 861618 866904 1148824 1723236 3446472 5887723 11775446 17663169 23550892 35326338 47101784 70652676 141305352