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161355144 = 233191073307
BaseRepresentation
bin10011001111000…
…01010110001000
3102020121200122110
421213201112020
5312301331034
624002222320
73666332106
oct1147412610
9366550573
10161355144
1183098565
12460549a0
1327576522
1417602c76
15e273de9
hex99e1588

161355144 has 64 divisors (see below), whose sum is σ = 428716800. Its totient is φ = 50462784.

The previous prime is 161355133. The next prime is 161355149. The reversal of 161355144 is 441553161.

It is a happy number.

161355144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (161355149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47139 + ... + 50445.

It is an arithmetic number, because the mean of its divisors is an integer number (6698700).

Almost surely, 2161355144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161355144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214358400).

161355144 is an abundant number, since it is smaller than the sum of its proper divisors (267361656).

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

161355144 is a wasteful number, since it uses less digits than its factorization.

161355144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442 (or 3438 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 161355144 is about 12702.5644654928. The cubic root of 161355144 is about 544.4118942948.

The spelling of 161355144 in words is "one hundred sixty-one million, three hundred fifty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 107 114 152 214 228 321 428 456 642 856 1284 2033 2568 3307 4066 6099 6614 8132 9921 12198 13228 16264 19842 24396 26456 39684 48792 62833 79368 125666 188499 251332 353849 376998 502664 707698 753996 1061547 1415396 1507992 2123094 2830792 4246188 6723131 8492376 13446262 20169393 26892524 40338786 53785048 80677572 161355144