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144705744 = 24331312557
BaseRepresentation
bin10001010000000…
…00100011010000
3101002021210222000
420220000203100
5244021040434
622205314000
73404656431
oct1050004320
9332253860
10144705744
1174756627
1240565900
1323c97201
141530b488
15ca85b99
hex8a008d0

144705744 has 80 divisors (see below), whose sum is σ = 418693440. Its totient is φ = 47848320.

The previous prime is 144705733. The next prime is 144705749. The reversal of 144705744 is 447507441.

It is a happy number.

144705744 is a `hidden beast` number, since 14 + 4 + 70 + 574 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144705699 and 144705708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144705749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55314 + ... + 57870.

It is an arithmetic number, because the mean of its divisors is an integer number (5233668).

Almost surely, 2144705744 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 144705744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209346720).

144705744 is an abundant number, since it is smaller than the sum of its proper divisors (273987696).

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

144705744 is a wasteful number, since it uses less digits than its factorization.

144705744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 144705744 is about 12029.3700583198. The cubic root of 144705744 is about 525.0031673278.

The spelling of 144705744 in words is "one hundred forty-four million, seven hundred five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 131 144 216 262 393 432 524 786 1048 1179 1572 2096 2358 2557 3144 3537 4716 5114 6288 7074 7671 9432 10228 14148 15342 18864 20456 23013 28296 30684 40912 46026 56592 61368 69039 92052 122736 138078 184104 276156 334967 368208 552312 669934 1004901 1104624 1339868 2009802 2679736 3014703 4019604 5359472 6029406 8039208 9044109 12058812 16078416 18088218 24117624 36176436 48235248 72352872 144705744