Search a number
-
+
141476040 = 233251723117
BaseRepresentation
bin10000110111011…
…00000011001000
3100212012201122100
420123230003020
5242204213130
622012153400
73335345406
oct1033540310
9325181570
10141476040
1172950052
123b468860
1323406144
1414b0a476
15c648c60
hex86ec0c8

141476040 has 96 divisors (see below), whose sum is σ = 486865080. Its totient is φ = 35506176.

The previous prime is 141476029. The next prime is 141476047. The reversal of 141476040 is 40674141.

141476040 is a `hidden beast` number, since 14 + 1 + 47 + 604 + 0 = 666.

141476040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 83503044 + 57972996 = 9138^2 + 7614^2 .

It is a junction number, because it is equal to n+sod(n) for n = 141475995 and 141476013.

It is not an unprimeable number, because it can be changed into a prime (141476047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5439 + ... + 17678.

Almost surely, 2141476040 is an apocalyptic number.

141476040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141476040 is an abundant number, since it is smaller than the sum of its proper divisors (345389040).

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

141476040 is a wasteful number, since it uses less digits than its factorization.

141476040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23151 (or 23144 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 141476040 is about 11894.3700968147. The cubic root of 141476040 is about 521.0678745400.

The spelling of 141476040 in words is "one hundred forty-one million, four hundred seventy-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 23117 46234 69351 92468 115585 138702 184936 208053 231170 277404 346755 392989 416106 462340 554808 693510 785978 832212 924680 1040265 1178967 1387020 1571956 1664424 1964945 2080530 2357934 2774040 3143912 3536901 3929890 4161060 4715868 5894835 7073802 7859780 8322120 9431736 11789670 14147604 15719560 17684505 23579340 28295208 35369010 47158680 70738020 141476040