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312424030243420 = 225414334725534811
BaseRepresentation
bin100011100001001011110001…
…1010101111000101001011100
31111222012110000211201220111221
41013002113203111320221130
5311422223403220242140
63024245341302023124
7122543614501215244
oct10702274325705134
91458173024656457
10312424030243420
1190603318216227
122b059a53717aa4
13105435c8a8aa84
145721591c46b24
15261bcecb4014a
hex11c25e3578a5c

312424030243420 has 96 divisors (see below), whose sum is σ = 689704668930816. Its totient is φ = 118742994854400.

The previous prime is 312424030243363. The next prime is 312424030243421. The reversal of 312424030243420 is 24342030424213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312424030243421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532186 + ... + 25002625.

It is an arithmetic number, because the mean of its divisors is an integer number (7184423634696).

Almost surely, 2312424030243420 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 312424030243420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344852334465408).

312424030243420 is an abundant number, since it is smaller than the sum of its proper divisors (377280638687396).

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

312424030243420 is a wasteful number, since it uses less digits than its factorization.

312424030243420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25535251 (or 25535249 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 312424030243420 its reverse (24342030424213), we get a palindrome (336766060667633).

The spelling of 312424030243420 in words is "three hundred twelve trillion, four hundred twenty-four billion, thirty million, two hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 43 82 86 164 172 205 215 347 410 430 694 820 860 1388 1735 1763 3470 3526 6940 7052 8815 14227 14921 17630 28454 29842 35260 56908 59684 71135 74605 142270 149210 284540 298420 611761 1223522 2447044 3058805 6117610 12235220 25534811 51069622 102139244 127674055 255348110 510696220 1046927251 1097996873 2093854502 2195993746 4187709004 4391987492 5234636255 5489984365 8860579417 10469272510 10979968730 17721158834 20938545020 21959937460 35442317668 44302897085 45017871793 88605794170 90035743586 177211588340 180071487172 225089358965 363283756097 381004914931 450178717930 726567512194 762009829862 900357435860 1453135024388 1524019659724 1816418780485 1905024574655 3632837560970 3810049149310 7265675121940 7620098298620 15621201512171 31242403024342 62484806048684 78106007560855 156212015121710 312424030243420