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16442145026142 = 23111162121437347
BaseRepresentation
bin1110111101000011110000…
…1101101011000001011110
32011012212001100122022220120
43233100330031223001132
54123342003111314032
654545230034255410
73314622452515023
oct357207415530136
964185040568816
1016442145026142
11526a090248790
121a16721127566
13923645400234
1440bb384d954a
151d7a7076962c
hexef43c36b05e

16442145026142 has 32 divisors (see below), whose sum is σ = 35876859617664. Its totient is φ = 4982039210400.

The previous prime is 16442145026141. The next prime is 16442145026143. The reversal of 16442145026142 is 24162054124461.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16442145026141) and next prime (16442145026143).

It is a super-3 number, since 3×164421450261423 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 16442145026094 and 16442145026103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16442145026141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9951688 + ... + 11485659.

It is an arithmetic number, because the mean of its divisors is an integer number (1121151863052).

Almost surely, 216442145026142 is an apocalyptic number.

16442145026142 is an abundant number, since it is smaller than the sum of its proper divisors (19434714591522).

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

16442145026142 is a wasteful number, since it uses less digits than its factorization.

16442145026142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21448984.

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 16442145026142 in words is "sixteen trillion, four hundred forty-two billion, one hundred forty-five million, twenty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 11621 23242 34863 69726 127831 255662 383493 766986 21437347 42874694 64312041 128624082 235810817 471621634 707432451 1414864902 249123409487 498246818974 747370228461 1494740456922 2740357504357 5480715008714 8221072513071 16442145026142