[go: up one dir, main page]

Search a number
-
+
141342240 = 25351322651
BaseRepresentation
bin10000110110010…
…11011000100000
3100211221221002210
420123023120200
5242140422430
622005242120
73334250334
oct1033133040
9324857083
10141342240
1172869576
123b403340
132338a280
1414ab37c4
15c61e2b0
hex86cb620

141342240 has 96 divisors (see below), whose sum is σ = 479497536. Its totient is φ = 34790400.

The previous prime is 141342221. The next prime is 141342241. The reversal of 141342240 is 42243141.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (141342241) 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 15 ways as a sum of consecutive naturals, for example, 5086 + ... + 17565.

It is an arithmetic number, because the mean of its divisors is an integer number (4994766).

Almost surely, 2141342240 is an apocalyptic number.

141342240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141342240 is an abundant number, since it is smaller than the sum of its proper divisors (338155296).

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

141342240 is a wasteful number, since it uses less digits than its factorization.

141342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22682 (or 22674 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 141342240 is about 11888.7442566488. The cubic root of 141342240 is about 520.9035572655.

Adding to 141342240 its reverse (42243141), we get a palindrome (183585381).

Subtracting from 141342240 its reverse (42243141), we obtain a palindrome (99099099).

The spelling of 141342240 in words is "one hundred forty-one million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 22651 45302 67953 90604 113255 135906 181208 226510 271812 294463 339765 362416 453020 543624 588926 679530 724832 883389 906040 1087248 1177852 1359060 1472315 1766778 1812080 2174496 2355704 2718120 2944630 3533556 3624160 4416945 4711408 5436240 5889260 7067112 8833890 9422816 10872480 11778520 14134224 17667780 23557040 28268448 35335560 47114080 70671120 141342240