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144421002 = 23311223312
BaseRepresentation
bin10001001101110…
…11000010001010
3101001202100101000
420212323002022
5243432433002
622155235430
73402362325
oct1046730212
9331670330
10144421002
1174581700
1240448b76
1323bc771b
14152757bc
15ca2b61c
hex89bb08a

144421002 has 144 divisors (see below), whose sum is σ = 380358720. Its totient is φ = 40510800.

The previous prime is 144420973. The next prime is 144421007. The reversal of 144421002 is 200124441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144421007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4658727 + ... + 4658757.

It is an arithmetic number, because the mean of its divisors is an integer number (2641380).

Almost surely, 2144421002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144421002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190179360).

144421002 is an abundant number, since it is smaller than the sum of its proper divisors (235937718).

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

144421002 is a wasteful number, since it uses less digits than its factorization.

144421002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 144421002 is about 12017.5289473336. The cubic root of 144421002 is about 524.6585861859.

Adding to 144421002 its reverse (200124441), we get a palindrome (344545443).

The spelling of 144421002 in words is "one hundred forty-four million, four hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 11 18 22 23 27 31 33 46 54 62 66 69 93 99 121 138 186 198 207 242 253 279 297 341 363 414 506 558 594 621 682 713 726 759 837 961 1023 1089 1242 1426 1518 1674 1922 2046 2139 2178 2277 2783 2883 3069 3267 3751 4278 4554 5566 5766 6138 6417 6534 6831 7502 7843 8349 8649 9207 10571 11253 12834 13662 15686 16698 17298 18414 19251 21142 22103 22506 23529 25047 25947 31713 33759 38502 44206 47058 50094 51894 63426 66309 67518 70587 75141 86273 95139 101277 116281 132618 141174 150282 172546 190278 198927 202554 211761 232562 243133 258819 285417 348843 397854 423522 486266 517638 570834 596781 697686 729399 776457 1046529 1193562 1458798 1552914 2093058 2188197 2329371 2674463 3139587 4376394 4658742 5348926 6279174 6564591 8023389 13129182 16046778 24070167 48140334 72210501 144421002