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141451700 = 225213532053
BaseRepresentation
bin10000110111001…
…10000110110100
3100212011111020212
420123212012310
5242202423300
622011444552
73335214425
oct1033460664
9325144225
10141451700
1172933835
123b456758
13233c8040
1414b0164c
15c641935
hex86e61b4

141451700 has 72 divisors (see below), whose sum is σ = 336962808. Its totient is φ = 51217920.

The previous prime is 141451691. The next prime is 141451759. The reversal of 141451700 is 7154141.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 46076944 + 95374756 = 6788^2 + 9766^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67874 + ... + 69926.

It is an arithmetic number, because the mean of its divisors is an integer number (4680039).

Almost surely, 2141451700 is an apocalyptic number.

141451700 is a gapful number since it is divisible by the number (10) 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 141451700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168481404).

141451700 is an abundant number, since it is smaller than the sum of its proper divisors (195511108).

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

141451700 is a wasteful number, since it uses less digits than its factorization.

141451700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 141451700 is about 11893.3468796634. The cubic root of 141451700 is about 521.0379907531.

The spelling of 141451700 in words is "one hundred forty-one million, four hundred fifty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 53 65 100 106 130 212 260 265 325 530 650 689 1060 1300 1325 1378 2053 2650 2756 3445 4106 5300 6890 8212 10265 13780 17225 20530 26689 34450 41060 51325 53378 68900 102650 106756 108809 133445 205300 217618 266890 435236 533780 544045 667225 1088090 1334450 1414517 2176180 2668900 2720225 2829034 5440450 5658068 7072585 10880900 14145170 28290340 35362925 70725850 141451700