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144341580 = 223531711093
BaseRepresentation
bin10001001101001…
…11101001001100
3101001121022102110
420212213221030
5243422412310
622153424020
73401611635
oct1046475114
9331538373
10144341580
1174527a69
124040b010
1323b9a526
141525488c
15ca12d20
hex89a7a4c

144341580 has 96 divisors (see below), whose sum is σ = 423456768. Its totient is φ = 36691200.

The previous prime is 144341579. The next prime is 144341599. The reversal of 144341580 is 85143441.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 131514 + ... + 132606.

It is an arithmetic number, because the mean of its divisors is an integer number (4411008).

Almost surely, 2144341580 is an apocalyptic number.

144341580 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 144341580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211728384).

144341580 is an abundant number, since it is smaller than the sum of its proper divisors (279115188).

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

144341580 is a wasteful number, since it uses less digits than its factorization.

144341580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 144341580 is about 12014.2240698266. The cubic root of 144341580 is about 524.5623927088.

The spelling of 144341580 in words is "one hundred forty-four million, three hundred forty-one thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 71 93 124 142 155 186 213 284 310 355 372 426 465 620 710 852 930 1065 1093 1420 1860 2130 2186 2201 3279 4260 4372 4402 5465 6558 6603 8804 10930 11005 13116 13206 16395 21860 22010 26412 32790 33015 33883 44020 65580 66030 67766 77603 101649 132060 135532 155206 169415 203298 232809 310412 338830 388015 406596 465618 508245 677660 776030 931236 1016490 1164045 1552060 2032980 2328090 2405693 4656180 4811386 7217079 9622772 12028465 14434158 24056930 28868316 36085395 48113860 72170790 144341580