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144152021515314 = 23192383662384189
BaseRepresentation
bin100000110001101100000010…
…000010010011110000110010
3200220101210120020020101002110
4200301230002002103300302
5122343241320001442224
61230330305141430150
742235432321615131
oct4061540202236062
9626353506211073
10144152021515314
1141a2759012337a
121420176440b356
136258628826997
142784dd0677918
15119ead1788929
hex831b02093c32

144152021515314 has 64 divisors (see below), whose sum is σ = 320487966489600. Its totient is φ = 43017878705472.

The previous prime is 144152021515213. The next prime is 144152021515319. The reversal of 144152021515314 is 413515120251441.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144152021515319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330974469 + ... + 331409720.

It is an arithmetic number, because the mean of its divisors is an integer number (5007624476400).

Almost surely, 2144152021515314 is an apocalyptic number.

144152021515314 is an abundant number, since it is smaller than the sum of its proper divisors (176335944974286).

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

144152021515314 is a wasteful number, since it uses less digits than its factorization.

144152021515314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662384319.

The product of its (nonzero) digits is 96000, while the sum is 39.

Adding to 144152021515314 its reverse (413515120251441), we get a palindrome (557667141766755).

The spelling of 144152021515314 in words is "one hundred forty-four trillion, one hundred fifty-two billion, twenty-one million, five hundred fifteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 19 23 38 46 57 69 83 114 138 166 249 437 498 874 1311 1577 1909 2622 3154 3818 4731 5727 9462 11454 36271 72542 108813 217626 662384189 1324768378 1987152567 3974305134 12585299591 15234836347 25170599182 30469672694 37755898773 45704509041 54977887687 75511797546 91409018082 109955775374 164933663061 289461890593 329867326122 578923781186 868385671779 1044579866053 1264491416801 1736771343558 2089159732106 2528982833602 3133739598159 3793474250403 6267479196318 7586948500806 24025336919219 48050673838438 72076010757657 144152021515314