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4450406142 = 237138579511
BaseRepresentation
bin1000010010100001…
…11100111011111110
3102111011020001112010
410021100330323332
533103300444032
62013335352050
7215166554010
oct41120747376
912434201463
104450406142
111984158006
12a42522626
1355c031220
143030ba1b0
151b0a93ccc
hex10943cefe

4450406142 has 64 divisors (see below), whose sum is σ = 10968781824. Its totient is φ = 1172240640.

The previous prime is 4450406141. The next prime is 4450406153. The reversal of 4450406142 is 2416040544.

It is a happy number.

It is a super-2 number, since 2×44504061422 = 39612229657502648328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4450406141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463167 + ... + 472677.

It is an arithmetic number, because the mean of its divisors is an integer number (171387216).

Almost surely, 24450406142 is an apocalyptic number.

4450406142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4450406142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484390912).

4450406142 is an abundant number, since it is smaller than the sum of its proper divisors (6518375682).

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

4450406142 is a wasteful number, since it uses less digits than its factorization.

4450406142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10393.

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 4450406142 is about 66711.3644141686. The cubic root of 4450406142 is about 1644.8761949551.

Adding to 4450406142 its reverse (2416040544), we get a palindrome (6866446686).

The spelling of 4450406142 in words is "four billion, four hundred fifty million, four hundred six thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 857 1714 2571 5142 5999 9511 11141 11998 17997 19022 22282 28533 33423 35994 57066 66577 66846 77987 123643 133154 155974 199731 233961 247286 370929 399462 467922 741858 865501 1731002 2596503 5193006 8150927 16301854 24452781 48905562 57056489 105962051 114112978 171169467 211924102 317886153 342338934 635772306 741734357 1483468714 2225203071 4450406142