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141726016 = 2619294019
BaseRepresentation
bin10000111001010…
…01000101000000
3100212200102112201
420130221011000
5242240213031
622021402544
73340436245
oct1034510500
9325612481
10141726016
1173000943
123b569454
1323492b63
1414b735cc
15c697d61
hex8729140

141726016 has 56 divisors (see below), whose sum is σ = 306324000. Its totient is φ = 64802304.

The previous prime is 141725999. The next prime is 141726019. The reversal of 141726016 is 610627141.

141726016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1417260162 = 40172527222464512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141726019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33255 + ... + 37273.

Almost surely, 2141726016 is an apocalyptic number.

141726016 is a gapful number since it is divisible by the number (16) 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 141726016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153162000).

141726016 is an abundant number, since it is smaller than the sum of its proper divisors (164597984).

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

141726016 is a wasteful number, since it uses less digits than its factorization.

141726016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 141726016 is about 11904.8736238567. The cubic root of 141726016 is about 521.3745880115.

The spelling of 141726016 in words is "one hundred forty-one million, seven hundred twenty-six thousand, sixteen".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 152 232 304 464 551 608 928 1102 1216 1856 2204 4019 4408 8038 8816 16076 17632 32152 35264 64304 76361 116551 128608 152722 233102 257216 305444 466204 610888 932408 1221776 1864816 2214469 2443552 3729632 4428938 4887104 7459264 8857876 17715752 35431504 70863008 141726016