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141080064 = 293531733
BaseRepresentation
bin10000110100010…
…11011000000000
3100211110121110120
420122023120000
5242104030224
621555500240
73332106066
oct1032133000
9324417416
10141080064
11726aa5a4
123b2b7680
13232c7b38
1414a46036
15c5bb779
hex868b600

141080064 has 80 divisors (see below), whose sum is σ = 383158512. Its totient is φ = 46112768.

The previous prime is 141080029. The next prime is 141080077. The reversal of 141080064 is 460080141.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80542 + ... + 82274.

Almost surely, 2141080064 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 141080064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191579256).

141080064 is an abundant number, since it is smaller than the sum of its proper divisors (242078448).

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

141080064 is an equidigital number, since it uses as much as digits as its factorization.

141080064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 141080064 is about 11877.7129111627. The cubic root of 141080064 is about 520.5812829086.

The spelling of 141080064 in words is "one hundred forty-one million, eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 512 636 768 848 1272 1536 1696 1733 2544 3392 3466 5088 5199 6784 6932 10176 10398 13568 13864 20352 20796 27136 27728 40704 41592 55456 81408 83184 91849 110912 166368 183698 221824 275547 332736 367396 443648 551094 665472 734792 887296 1102188 1330944 1469584 2204376 2661888 2939168 4408752 5878336 8817504 11756672 17635008 23513344 35270016 47026688 70540032 141080064