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431112114230140 = 2257222917531095839
BaseRepresentation
bin110001000000110000001110…
…0011011010101001101111100
32002112102220201111002022000001
41202001200130123111031330
5423001320102220331030
64124522100545444044
7156543552040323400
oct14201403433251574
92075386644068001
10431112114230140
11115402691460092
12404284ba940624
131567290c483685
147865d1ad33100
1534c933718ecca
hex188181c6d537c

431112114230140 has 144 divisors (see below), whose sum is σ = 1058348552083200. Its totient is φ = 147080325547008.

The previous prime is 431112114230107. The next prime is 431112114230173. The reversal of 431112114230140 is 41032411211134.

It is an interprime number because it is at equal distance from previous prime (431112114230107) and next prime (431112114230173).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 431112114230099 and 431112114230108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392860341 + ... + 393956179.

It is an arithmetic number, because the mean of its divisors is an integer number (7349642722800).

Almost surely, 2431112114230140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431112114230140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529174276041600).

431112114230140 is an abundant number, since it is smaller than the sum of its proper divisors (627236437853060).

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

431112114230140 is a wasteful number, since it uses less digits than its factorization.

431112114230140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097844 (or 1097835 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 431112114230140 its reverse (41032411211134), we get a palindrome (472144525441274).

The spelling of 431112114230140 in words is "four hundred thirty-one trillion, one hundred twelve billion, one hundred fourteen million, two hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 229 245 458 490 916 980 1145 1603 1753 2290 3206 3506 4580 6412 7012 8015 8765 11221 12271 16030 17530 22442 24542 32060 35060 44884 49084 56105 61355 85897 112210 122710 171794 224420 245420 343588 401437 429485 802874 858970 1095839 1605748 1717940 2007185 2191678 2810059 4014370 4383356 5479195 5620118 7670873 8028740 10958390 11240236 14050295 15341746 19670413 21916780 28100590 30683492 38354365 39340826 53696111 56201180 76708730 78681652 98352065 107392222 153417460 196704130 214784444 250947131 268480555 393408260 501894262 536961110 1003788524 1073922220 1254735655 1756629917 1921005767 2509471310 3513259834 3842011534 5018942620 7026519668 7684023068 8783149585 9605028835 12296409419 13447040369 17566299170 19210057670 24592818838 26894080738 35132598340 38420115340 49185637676 53788161476 61482047095 67235201845 94129282583 122964094190 134470403690 188258565166 245928188380 268940807380 376517130332 439910320643 470646412915 879820641286 941292825830 1759641282572 1882585651660 2199551603215 3079372244501 4399103206430 6158744489002 8798206412860 12317488978004 15396861222505 21555605711507 30793722445010 43111211423014 61587444890020 86222422846028 107778028557535 215556057115070 431112114230140