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144322542 = 232721341307
BaseRepresentation
bin10001001101000…
…10111111101110
3101001120100022100
420212202333232
5243421310132
622153155530
73401502300
oct1046427756
9331510270
10144322542
1174514731
12403bbba6
1323b91970
141524b970
15ca0c37c
hex89a2fee

144322542 has 144 divisors (see below), whose sum is σ = 402594192. Its totient is φ = 37013760.

The previous prime is 144322511. The next prime is 144322547. The reversal of 144322542 is 245223441.

It is a super-2 number, since 2×1443225422 = 41657992258683528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144322547) 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, 469953 + ... + 470259.

It is an arithmetic number, because the mean of its divisors is an integer number (2795793).

Almost surely, 2144322542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144322542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201297096).

144322542 is an abundant number, since it is smaller than the sum of its proper divisors (258271650).

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

144322542 is a wasteful number, since it uses less digits than its factorization.

144322542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 373 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 144322542 is about 12013.4317328564. The cubic root of 144322542 is about 524.5393292276.

Adding to 144322542 its reverse (245223441), we get a palindrome (389545983).

The spelling of 144322542 in words is "one hundred forty-four million, three hundred twenty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 41 42 49 63 78 82 91 98 117 123 126 147 182 234 246 273 287 294 307 369 441 533 546 574 614 637 738 819 861 882 921 1066 1274 1599 1638 1722 1842 1911 2009 2149 2583 2763 3198 3731 3822 3991 4018 4298 4797 5166 5526 5733 6027 6447 7462 7982 9594 11193 11466 11973 12054 12587 12894 15043 18081 19341 22386 23946 25174 26117 27937 30086 33579 35919 36162 37761 38682 45129 52234 55874 67158 71838 75522 78351 83811 88109 90258 113283 135387 156702 163631 167622 176218 195559 226566 235053 251433 264327 270774 327262 391118 470106 490893 502866 528654 586677 616763 792981 981786 1145417 1173354 1233526 1472679 1585962 1760031 1850289 2290834 2945358 3436251 3520062 3700578 5550867 6872502 8017919 10308753 11101734 16035838 20617506 24053757 48107514 72161271 144322542