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163141440 = 26357112207
BaseRepresentation
bin10011011100101…
…01011101000000
3102100222102222120
421232111131000
5313231011230
624104404240
74020452010
oct1156253500
9370872876
10163141440
11840a8640
1246776680
1327a505c7
1417949c40
15e4c8310
hex9b95740

163141440 has 224 divisors, whose sum is σ = 646078464. Its totient is φ = 33884160.

The previous prime is 163141427. The next prime is 163141453. The reversal of 163141440 is 44141361.

It is an interprime number because it is at equal distance from previous prime (163141427) and next prime (163141453).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 163141440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72817 + ... + 75023.

Almost surely, 2163141440 is an apocalyptic number.

163141440 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 163141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323039232).

163141440 is an abundant number, since it is smaller than the sum of its proper divisors (482937024).

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

163141440 is a wasteful number, since it uses less digits than its factorization.

163141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 163141440 is about 12772.6833515906. The cubic root of 163141440 is about 546.4135122388.

It can be divided in two parts, 1631 and 41440, that added together give a triangular number (43071 = T293).

The spelling of 163141440 in words is "one hundred sixty-three million, one hundred forty-one thousand, four hundred forty".