Search a number
-
+
141848100 = 2232523972
BaseRepresentation
bin10000111010001…
…10111000100100
3100212220122000100
420131012320210
5242303114400
622024144100
73341455212
oct1035067044
9325818010
10141848100
1173084639
123b608030
13235065b4
1414ba5cb2
15c6be100
hex8746e24

141848100 has 81 divisors (see below), whose sum is σ = 445737747. Its totient is φ = 37730880.

The previous prime is 141848029. The next prime is 141848101. The reversal of 141848100 is 1848141.

The square root of 141848100 is 11910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 142884 + 141705216 = 378^2 + 11904^2 .

It is a super-2 number, since 2×1418481002 = 40241766947220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141848101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 357102 + ... + 357498.

Almost surely, 2141848100 is an apocalyptic number.

141848100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141848100 is the 11910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141848100

141848100 is an abundant number, since it is smaller than the sum of its proper divisors (303889647).

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

141848100 is a wasteful number, since it uses less digits than its factorization.

141848100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The cubic root of 141848100 is about 521.5242505531.

Multiplying 141848100 by its product of nonzero digits (1024), we get a square (145252454400 = 3811202).

It can be divided in two parts, 141 and 848100, that added together give a square (848241 = 9212).

The spelling of 141848100 in words is "one hundred forty-one million, eight hundred forty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 397 450 794 900 1191 1588 1985 2382 3573 3970 4764 5955 7146 7940 9925 11910 14292 17865 19850 23820 29775 35730 39700 59550 71460 89325 119100 157609 178650 315218 357300 472827 630436 788045 945654 1418481 1576090 1891308 2364135 2836962 3152180 3940225 4728270 5673924 7092405 7880450 9456540 11820675 14184810 15760900 23641350 28369620 35462025 47282700 70924050 141848100