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141042240 = 2632548973
BaseRepresentation
bin10000110100000…
…10001001000000
3100211101200120200
420122002021000
5242101322430
621555005200
73331560603
oct1032021100
9324350520
10141042240
1172684139
123b299800
13232b3861
1414a3633a
15c5b0460
hex8682240

141042240 has 84 divisors (see below), whose sum is σ = 485136444. Its totient is φ = 37610496.

The previous prime is 141042227. The next prime is 141042241. The reversal of 141042240 is 42240141.

It can be written as a sum of positive squares in 2 ways, for example, as 24920064 + 116122176 = 4992^2 + 10776^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141042241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21607 + ... + 27366.

Almost surely, 2141042240 is an apocalyptic number.

141042240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141042240 is an abundant number, since it is smaller than the sum of its proper divisors (344094204).

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

141042240 is a wasteful number, since it uses less digits than its factorization.

141042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48996 (or 48983 counting only the distinct ones).

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

The square root of 141042240 is about 11876.1205787075. The cubic root of 141042240 is about 520.5347556015.

Adding to 141042240 its reverse (42240141), we get a palindrome (183282381).

The spelling of 141042240 in words is "one hundred forty-one million, forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 48973 97946 146919 195892 244865 293838 391784 440757 489730 587676 734595 783568 881514 979460 1175352 1469190 1567136 1763028 1958920 2203785 2350704 2938380 3134272 3526056 3917840 4407570 4701408 5876760 7052112 7835680 8815140 9402816 11753520 14104224 15671360 17630280 23507040 28208448 35260560 47014080 70521120 141042240