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332163144030 = 23531234733203
BaseRepresentation
bin1001101010101100111…
…01110101100101011110
31011202101000120000212210
410311112131311211132
520420232231102110
6412332120541250
732666212065504
oct4652635654536
91152330500783
10332163144030
11118962487473
1254460921826
13254273bc893
1412110992674
158991174520
hex4d5677595e

332163144030 has 96 divisors (see below), whose sum is σ = 826135708032. Its totient is φ = 85469916480.

The previous prime is 332163143981. The next prime is 332163144077. The reversal of 332163144030 is 30441361233.

It is a super-2 number, since 2×3321631440302 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9987409 + ... + 10020611.

It is an arithmetic number, because the mean of its divisors is an integer number (8605580292).

Almost surely, 2332163144030 is an apocalyptic number.

332163144030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 332163144030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413067854016).

332163144030 is an abundant number, since it is smaller than the sum of its proper divisors (493972564002).

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

332163144030 is a wasteful number, since it uses less digits than its factorization.

332163144030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33622 (or 33591 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The spelling of 332163144030 in words is "three hundred thirty-two billion, one hundred sixty-three million, one hundred forty-four thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 347 465 694 930 961 1041 1735 1922 2082 2883 3470 4805 5205 5766 9610 10410 10757 14415 21514 28830 32271 33203 53785 64542 66406 99609 107570 161355 166015 199218 322710 332030 333467 498045 666934 996090 1000401 1029293 1667335 2000802 2058586 3087879 3334670 5002005 5146465 6175758 10004010 10292930 11521441 15439395 23042882 30878790 31908083 34564323 57607205 63816166 69128646 95724249 115214410 159540415 172821615 191448498 319080830 345643230 357164671 478621245 714329342 957242490 1071494013 1785823355 2142988026 3571646710 5357470065 10714940130 11072104801 22144209602 33216314403 55360524005 66432628806 110721048010 166081572015 332163144030