Search a number
-
+
141404040 = 233251013889
BaseRepresentation
bin10000110110110…
…10011110001000
3100212002001212200
420123122132020
5242144412130
622010440200
73334625451
oct1033323610
9325061780
10141404040
1172900a48
123b433060
13233ac43b
1414acc128
15c632760
hex86da788

141404040 has 96 divisors (see below), whose sum is σ = 464232600. Its totient is φ = 37324800.

The previous prime is 141404017. The next prime is 141404057. The reversal of 141404040 is 40404141.

It can be written as a sum of positive squares in 4 ways, for example, as 140991876 + 412164 = 11874^2 + 642^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 34416 + ... + 38304.

Almost surely, 2141404040 is an apocalyptic number.

141404040 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 141404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232116300).

141404040 is an abundant number, since it is smaller than the sum of its proper divisors (322828560).

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

141404040 is a wasteful number, since it uses less digits than its factorization.

141404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 141404040 is about 11891.3430696452. The cubic root of 141404040 is about 520.9794655695.

Adding to 141404040 its reverse (40404141), we get a palindrome (181808181).

The spelling of 141404040 in words is "one hundred forty-one million, four hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 101 120 180 202 303 360 404 505 606 808 909 1010 1212 1515 1818 2020 2424 3030 3636 3889 4040 4545 6060 7272 7778 9090 11667 12120 15556 18180 19445 23334 31112 35001 36360 38890 46668 58335 70002 77780 93336 116670 140004 155560 175005 233340 280008 350010 392789 466680 700020 785578 1178367 1400040 1571156 1963945 2356734 3142312 3535101 3927890 4713468 5891835 7070202 7855780 9426936 11783670 14140404 15711560 17675505 23567340 28280808 35351010 47134680 70702020 141404040