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141179040 = 2532598041
BaseRepresentation
bin10000110101000…
…11100010100000
3100211122122020100
420122203202200
5242120212130
622001542400
73333000462
oct1032434240
9324578210
10141179040
11727679a2
123b344a00
1323330bc2
1414a70132
15c5dac60
hex86a38a0

141179040 has 72 divisors (see below), whose sum is σ = 481778388. Its totient is φ = 37647360.

The previous prime is 141179039. The next prime is 141179057. The reversal of 141179040 is 40971141.

141179040 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 2 ways, for example, as 140280336 + 898704 = 11844^2 + 948^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 141178995 and 141179013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47581 + ... + 50460.

Almost surely, 2141179040 is an apocalyptic number.

141179040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141179040 is an abundant number, since it is smaller than the sum of its proper divisors (340599348).

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

141179040 is a wasteful number, since it uses less digits than its factorization.

141179040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98062 (or 98051 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 141179040 is about 11881.8786393398. The cubic root of 141179040 is about 520.7029939593.

The spelling of 141179040 in words is "one hundred forty-one million, one hundred seventy-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 98041 196082 294123 392164 490205 588246 784328 882369 980410 1176492 1470615 1568656 1764738 1960820 2352984 2941230 3137312 3529476 3921640 4411845 4705968 5882460 7058952 7843280 8823690 9411936 11764920 14117904 15686560 17647380 23529840 28235808 35294760 47059680 70589520 141179040