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141135830280 = 233252677146449
BaseRepresentation
bin1000001101110001011…
…0011101110100001000
3111111021222222000222100
42003130112131310020
54303021233032110
6144500434353400
713124322522564
oct2033426356410
9444258860870
10141135830280
1154945551255
122342a12b860
1310402ca9613
146b8c4166a4
153a107d3bc0
hex20dc59dd08

141135830280 has 96 divisors (see below), whose sum is σ = 458865927000. Its totient is φ = 37621905408.

The previous prime is 141135830261. The next prime is 141135830291. The reversal of 141135830280 is 82038531141.

141135830280 is a `hidden beast` number, since 1 + 41 + 13 + 583 + 0 + 28 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 86270263524 + 54865566756 = 293718^2 + 234234^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 890496 + ... + 1036944.

Almost surely, 2141135830280 is an apocalyptic number.

141135830280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141135830280 is an abundant number, since it is smaller than the sum of its proper divisors (317730096720).

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

141135830280 is a wasteful number, since it uses less digits than its factorization.

141135830280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149143 (or 149136 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 141135830280 in words is "one hundred forty-one billion, one hundred thirty-five million, eight hundred thirty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2677 5354 8031 10708 13385 16062 21416 24093 26770 32124 40155 48186 53540 64248 80310 96372 107080 120465 146449 160620 192744 240930 292898 321240 439347 481860 585796 732245 878694 963720 1171592 1318041 1464490 1757388 2196735 2636082 2928980 3514776 4393470 5272164 5857960 6590205 8786940 10544328 13180410 17573880 26360820 52721640 392043973 784087946 1176131919 1568175892 1960219865 2352263838 3136351784 3528395757 3920439730 4704527676 5880659595 7056791514 7840879460 9409055352 11761319190 14113583028 15681758920 17641978785 23522638380 28227166056 35283957570 47045276760 70567915140 141135830280