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20444143314132 = 2233296527504251
BaseRepresentation
bin1001010011000000001011…
…11001100110010011010100
32200101102220111110120122000
410221200011321212103110
510134424101142023012
6111251524302435300
74210016633632506
oct451400571462324
980342814416560
1020444143314132
116572348a1772a
122362266292b30
13b53b4a1c39a5
14509704da9d76
15256bebd99ddc
hex129805e664d4

20444143314132 has 48 divisors (see below), whose sum is σ = 54831035716800. Its totient is φ = 6579724284000.

The previous prime is 20444143314083. The next prime is 20444143314139. The reversal of 20444143314132 is 23141334144402.

20444143314132 is a `hidden beast` number, since 2 + 0 + 4 + 441 + 43 + 3 + 141 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20444143314139) 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 15 ways as a sum of consecutive naturals, for example, 3263748994 + ... + 3263755257.

It is an arithmetic number, because the mean of its divisors is an integer number (1142313244100).

Almost surely, 220444143314132 is an apocalyptic number.

It is an amenable number.

20444143314132 is an abundant number, since it is smaller than the sum of its proper divisors (34386892402668).

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

20444143314132 is a wasteful number, since it uses less digits than its factorization.

20444143314132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6527504293 (or 6527504285 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 20444143314132 its reverse (23141334144402), we get a palindrome (43585477458534).

The spelling of 20444143314132 in words is "twenty trillion, four hundred forty-four billion, one hundred forty-three million, three hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 6527504251 13055008502 19582512753 26110017004 39165025506 58747538259 78330051012 117495076518 176242614777 189297623279 234990153036 352485229554 378595246558 567892869837 704970459108 757190493116 1135785739674 1703678609511 2271571479348 3407357219022 5111035828533 6814714438044 10222071657066 20444143314132