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144106464 = 25313710957
BaseRepresentation
bin10001001011011…
…10001111100000
3101001011100220110
420211232033200
5243342401324
622144411320
73366612315
oct1045561740
9331140813
10144106464
1174387357
1240316b40
1323b174c8
14151d2d0c
15c9b8329
hex896e3e0

144106464 has 48 divisors (see below), whose sum is σ = 381075408. Its totient is φ = 47680512.

The previous prime is 144106463. The next prime is 144106489. The reversal of 144106464 is 464601441.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144106463) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7674 + ... + 18630.

It is an arithmetic number, because the mean of its divisors is an integer number (7939071).

Almost surely, 2144106464 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 144106464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190537704).

144106464 is an abundant number, since it is smaller than the sum of its proper divisors (236968944).

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

144106464 is a wasteful number, since it uses less digits than its factorization.

144106464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11107 (or 11099 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 144106464 is about 12004.4351803823. The cubic root of 144106464 is about 524.2774204522.

The spelling of 144106464 in words is "one hundred forty-four million, one hundred six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 411 548 822 1096 1644 2192 3288 4384 6576 10957 13152 21914 32871 43828 65742 87656 131484 175312 262968 350624 525936 1051872 1501109 3002218 4503327 6004436 9006654 12008872 18013308 24017744 36026616 48035488 72053232 144106464