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144368730 = 2355112491
BaseRepresentation
bin10001001101011…
…10010001011010
3101001122200200000
420212232101122
5243424244410
622154153430
73402054042
oct1046562132
9331580600
10144368730
1174546400
1240422876
1323ba99ac
1415260722
15ca1adc0
hex89ae45a

144368730 has 144 divisors (see below), whose sum is σ = 428736672. Its totient is φ = 34927200.

The previous prime is 144368717. The next prime is 144368737. The reversal of 144368730 is 37863441.

It is not an unprimeable number, because it can be changed into a prime (144368737) 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 71 ways as a sum of consecutive naturals, for example, 293785 + ... + 294275.

It is an arithmetic number, because the mean of its divisors is an integer number (2977338).

Almost surely, 2144368730 is an apocalyptic number.

144368730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144368730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214368336).

144368730 is an abundant number, since it is smaller than the sum of its proper divisors (284367942).

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

144368730 is a wasteful number, since it uses less digits than its factorization.

144368730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 144368730 is about 12015.3539273714. The cubic root of 144368730 is about 524.5952799201.

The spelling of 144368730 in words is "one hundred forty-four million, three hundred sixty-eight thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 121 135 162 165 198 242 243 270 297 330 363 405 486 491 495 594 605 726 810 891 982 990 1089 1210 1215 1473 1485 1782 1815 2178 2430 2455 2673 2946 2970 3267 3630 4419 4455 4910 5346 5401 5445 6534 7365 8838 8910 9801 10802 10890 13257 13365 14730 16203 16335 19602 22095 26514 26730 27005 29403 32406 32670 39771 44190 48609 49005 54010 58806 59411 66285 79542 81015 97218 98010 118822 119313 132570 145827 147015 162030 178233 198855 238626 243045 291654 294030 297055 356466 397710 437481 486090 534699 594110 596565 729135 874962 891165 1069398 1193130 1312443 1458270 1604097 1782330 2187405 2624886 2673495 3208194 4374810 4812291 5346990 6562215 8020485 9624582 13124430 14436873 16040970 24061455 28873746 48122910 72184365 144368730