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144342120 = 233513671381
BaseRepresentation
bin10001001101001…
…11110001101000
3101001121100011110
420212213301220
5243422421440
622153430320
73401613336
oct1046476150
9331540143
10144342120
117452840a
124040b3a0
1323b9a850
1415254b56
15ca13080
hex89a7c68

144342120 has 128 divisors (see below), whose sum is σ = 473639040. Its totient is φ = 34974720.

The previous prime is 144342119. The next prime is 144342131. The reversal of 144342120 is 21243441.

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, 103830 + ... + 105210.

It is an arithmetic number, because the mean of its divisors is an integer number (3700305).

Almost surely, 2144342120 is an apocalyptic number.

144342120 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 144342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236819520).

144342120 is an abundant number, since it is smaller than the sum of its proper divisors (329296920).

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

144342120 is a wasteful number, since it uses less digits than its factorization.

144342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 144342120 is about 12014.2465431670. The cubic root of 144342120 is about 524.5630468593.

Adding to 144342120 its reverse (21243441), we get a palindrome (165585561).

It can be divided in two parts, 1443421 and 20, that added together give a palindrome (1443441).

The spelling of 144342120 in words is "one hundred forty-four million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 67 78 104 120 130 134 156 195 201 260 268 312 335 390 402 520 536 670 780 804 871 1005 1340 1381 1560 1608 1742 2010 2613 2680 2762 3484 4020 4143 4355 5226 5524 6905 6968 8040 8286 8710 10452 11048 13065 13810 16572 17420 17953 20715 20904 26130 27620 33144 34840 35906 41430 52260 53859 55240 71812 82860 89765 92527 104520 107718 143624 165720 179530 185054 215436 269295 277581 359060 370108 430872 462635 538590 555162 718120 740216 925270 1077180 1110324 1202851 1387905 1850540 2154360 2220648 2405702 2775810 3608553 3701080 4811404 5551620 6014255 7217106 9622808 11103240 12028510 14434212 18042765 24057020 28868424 36085530 48114040 72171060 144342120