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32214101140 = 22513123900389
BaseRepresentation
bin11110000000000111…
…000010110010010100
310002011001111220011001
4132000013002302110
51011433302214030
622444323553044
72220203225134
oct360007026224
9102131456131
1032214101140
1112731024a91
1262b052b784
133064cc2c10
1417b8516ac4
15c881cdcca
hex7801c2c94

32214101140 has 24 divisors (see below), whose sum is σ = 72853429320. Its totient is φ = 11894437248.

The previous prime is 32214101119. The next prime is 32214101147. The reversal of 32214101140 is 4110141223.

It can be written as a sum of positive squares in 4 ways, for example, as 146603664 + 32067497476 = 12108^2 + 179074^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32214101147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61949935 + ... + 61950454.

It is an arithmetic number, because the mean of its divisors is an integer number (3035559555).

Almost surely, 232214101140 is an apocalyptic number.

It is an amenable number.

32214101140 is an abundant number, since it is smaller than the sum of its proper divisors (40639328180).

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

32214101140 is a wasteful number, since it uses less digits than its factorization.

32214101140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123900411 (or 123900409 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 32214101140 its reverse (4110141223), we get a palindrome (36324242363).

The spelling of 32214101140 in words is "thirty-two billion, two hundred fourteen million, one hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 123900389 247800778 495601556 619501945 1239003890 1610705057 2478007780 3221410114 6442820228 8053525285 16107050570 32214101140