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161328023440 = 2454149185373
BaseRepresentation
bin1001011000111111100…
…1100100011110010000
3120102102020010201200021
42112033321210132100
510120344433222230
6202040231233224
714440600400443
oct2261771443620
9512366121607
10161328023440
11624675108a1
1227324518814
13122a0436ccc
147b4604b65a
1542e3365c7a
hex258fe64790

161328023440 has 40 divisors (see below), whose sum is σ = 384236141688. Its totient is φ = 62957276160.

The previous prime is 161328023431. The next prime is 161328023443. The reversal of 161328023440 is 44320823161.

161328023440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13170775696 + 148157247744 = 114764^2 + 384912^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1613280234402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161328023396 and 161328023405.

It is not an unprimeable number, because it can be changed into a prime (161328023443) 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 7 ways as a sum of consecutive naturals, for example, 24589407 + ... + 24595966.

Almost surely, 2161328023440 is an apocalyptic number.

161328023440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161328023440 is an abundant number, since it is smaller than the sum of its proper divisors (222908118248).

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

161328023440 is a wasteful number, since it uses less digits than its factorization.

161328023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49185427 (or 49185421 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 161328023440 in words is "one hundred sixty-one billion, three hundred twenty-eight million, twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 49185373 98370746 196741492 245926865 393482984 491853730 786965968 983707460 1967414920 2016600293 3934829840 4033200586 8066401172 10083001465 16132802344 20166002930 32265604688 40332005860 80664011720 161328023440