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161041440 = 25357241167
BaseRepresentation
bin10011001100101…
…00110000100000
3102020000202022210
421212110300200
5312211311230
623551402120
73663554400
oct1146246040
9366022283
10161041440
11829a38aa
1245b23340
13274967c1
1417560800
15e210eb0
hex9994c20

161041440 has 288 divisors, whose sum is σ = 608114304. Its totient is φ = 35696640.

The previous prime is 161041417. The next prime is 161041451. The reversal of 161041440 is 44140161.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 964237 + ... + 964403.

It is an arithmetic number, because the mean of its divisors is an integer number (2111508).

Almost surely, 2161041440 is an apocalyptic number.

161041440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304057152).

161041440 is an abundant number, since it is smaller than the sum of its proper divisors (447072864).

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

161041440 is a wasteful number, since it uses less digits than its factorization.

161041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 161041440 is about 12690.2104001470. The cubic root of 161041440 is about 544.0588532059.

The spelling of 161041440 in words is "one hundred sixty-one million, forty-one thousand, four hundred forty".