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132141403410 = 23517215241223
BaseRepresentation
bin111101100010000111…
…1011100110100010010
3110122002011100210212020
41323010033130310102
54131111144402120
6140412132512310
712355405252662
oct1730417346422
9418064323766
10132141403410
115104a417215
1221739a7b696
13c5cb72ac43
146577a521a2
153685d58640
hex1ec43dcd12

132141403410 has 48 divisors (see below), whose sum is σ = 336892015296. Its totient is φ = 33164899072.

The previous prime is 132141403391. The next prime is 132141403411. The reversal of 132141403410 is 14304141231.

It is a super-2 number, since 2×1321414034102 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132141403411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7611942 + ... + 7629281.

It is an arithmetic number, because the mean of its divisors is an integer number (7018583652).

Almost surely, 2132141403410 is an apocalyptic number.

132141403410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132141403410 is an abundant number, since it is smaller than the sum of its proper divisors (204750611886).

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

132141403410 is a wasteful number, since it uses less digits than its factorization.

132141403410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15241267 (or 15241250 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 132141403410 its reverse (14304141231), we get a palindrome (146445544641).

The spelling of 132141403410 in words is "one hundred thirty-two billion, one hundred forty-one million, four hundred three thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 289 510 578 867 1445 1734 2890 4335 8670 15241223 30482446 45723669 76206115 91447338 152412230 228618345 259100791 457236690 518201582 777302373 1295503955 1554604746 2591007910 3886511865 4404713447 7773023730 8809426894 13214140341 22023567235 26428280682 44047134470 66070701705 132141403410