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144530312412 = 2231912716193083
BaseRepresentation
bin1000011010011010101…
…1011000110011011100
3111211001120021121001210
42012212223120303130
54331444224444122
6150221334104420
713304411246133
oct2064653306334
9454046247053
10144530312412
1156327658992
1224016aab110
131082431ca25
146dd118891a
153b5d7eb40c
hex21a6ad8cdc

144530312412 has 96 divisors (see below), whose sum is σ = 358119014400. Its totient is φ = 45239124672.

The previous prime is 144530312387. The next prime is 144530312419. The reversal of 144530312412 is 214213035441.

144530312412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1445303124122 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144530312412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144530312419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46878223 + ... + 46881305.

It is an arithmetic number, because the mean of its divisors is an integer number (3730406400).

Almost surely, 2144530312412 is an apocalyptic number.

144530312412 is a gapful number since it is divisible by the number (12) 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 144530312412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179059507200).

144530312412 is an abundant number, since it is smaller than the sum of its proper divisors (213588701988).

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

144530312412 is a wasteful number, since it uses less digits than its factorization.

144530312412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4855 (or 4853 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 144530312412 its reverse (214213035441), we get a palindrome (358743347853).

The spelling of 144530312412 in words is "one hundred forty-four billion, five hundred thirty million, three hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 127 228 254 381 508 762 1524 1619 2413 3083 3238 4826 4857 6166 6476 7239 9249 9652 9714 12332 14478 18498 19428 28956 30761 36996 58577 61522 92283 117154 123044 175731 184566 205613 234308 351462 369132 391541 411226 616839 702924 783082 822452 1174623 1233678 1566164 2349246 2467356 3906647 4698492 4991377 7439279 7813294 9982754 11719941 14878558 14974131 15626588 19965508 22317837 23439882 29757116 29948262 44635674 46879764 59896524 89271348 94836163 189672326 284508489 379344652 569016978 633904879 1138033956 1267809758 1901714637 2535619516 3803429274 7606858548 12044192701 24088385402 36132578103 48176770804 72265156206 144530312412