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144042142312314 = 2321712831555123593
BaseRepresentation
bin100000110000000101101100…
…101110011010011101111010
3200220000021221120010112001100
4200300011230232122131322
5122334441301412443224
61230204014025032230
742224462365035411
oct4060055456323572
9626007846115040
10144042142312314
1141994a251898a4
12141a43ba025676
13624b1673726bc
14277d96953a478
15119bd000a2ac9
hex83016cb9a77a

144042142312314 has 96 divisors (see below), whose sum is σ = 330742464758784. Its totient is φ = 45149652403200.

The previous prime is 144042142312301. The next prime is 144042142312361. The reversal of 144042142312314 is 413213241240441.

144042142312314 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 4 + 21 + 4 + 2 + 312 + 314 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6105279702 + ... + 6105303294.

It is an arithmetic number, because the mean of its divisors is an integer number (3445234007904).

Almost surely, 2144042142312314 is an apocalyptic number.

144042142312314 is an abundant number, since it is smaller than the sum of its proper divisors (186700322446470).

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

144042142312314 is a wasteful number, since it uses less digits than its factorization.

144042142312314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40452 (or 40449 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 144042142312314 its reverse (413213241240441), we get a palindrome (557255383552755).

The spelling of 144042142312314 in words is "one hundred forty-four trillion, forty-two billion, one hundred forty-two million, three hundred twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 1283 2566 3849 7698 11547 15551 21811 23094 23593 31102 43622 46653 47186 65433 70779 93306 130866 139959 141558 196299 212337 264367 279918 392598 401081 424674 528734 793101 802162 1203243 1586202 2379303 2406486 3609729 4758606 7219458 19951933 30269819 39903866 59855799 60539638 90809457 119711598 179567397 181618914 272428371 339182861 359134794 366894743 514586923 544856742 678365722 733789486 1017548583 1029173846 1100684229 1543760769 2035097166 2201368458 3052645749 3087521538 3302052687 4631282307 6105291498 6237210631 6604105374 9262564614 12474421262 18711631893 37423263786 56134895679 112269791358 470725955269 941451910538 1412177865807 2824355731614 4236533597421 8002341239573 8473067194842 16004682479146 24007023718719 48014047437438 72021071156157 144042142312314