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32142203134410 = 2354128339224099
BaseRepresentation
bin1110100111011101100001…
…00110011010000111001010
311012210202122101211022110010
413103232300212122013022
513203104213000300120
6152205531350532350
76525124520526045
oct723566046320712
9135722571738403
1032142203134410
11a2724827a6516
12373145a9670b6
1314c1cc5b23825
147d1995cbdc5c
153ab15c1137e0
hex1d3bb099a1ca

32142203134410 has 64 divisors (see below), whose sum is σ = 79050684585600. Its totient is φ = 8359246571520.

The previous prime is 32142203134319. The next prime is 32142203134417. The reversal of 32142203134410 is 1443130224123.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (32142203134417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1127460 + ... + 8096639.

It is an arithmetic number, because the mean of its divisors is an integer number (1235166946650).

Almost surely, 232142203134410 is an apocalyptic number.

32142203134410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32142203134410 is an abundant number, since it is smaller than the sum of its proper divisors (46908481451190).

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

32142203134410 is a wasteful number, since it uses less digits than its factorization.

32142203134410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9226983.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 32142203134410 its reverse (1443130224123), we get a palindrome (33585333358533).

The spelling of 32142203134410 in words is "thirty-two trillion, one hundred forty-two billion, two hundred three million, one hundred thirty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 2833 5666 8499 14165 16998 28330 42495 84990 116153 232306 348459 580765 696918 1161530 1742295 3484590 9224099 18448198 27672297 46120495 55344594 92240990 138361485 276722970 378188059 756376118 1134564177 1890940295 2269128354 3781880590 5672820885 11345641770 26131872467 52263744934 78395617401 130659362335 156791234802 261318724670 391978087005 783956174010 1071406771147 2142813542294 3214220313441 5357033855735 6428440626882 10714067711470 16071101567205 32142203134410