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512340402212304 = 243313131371180231
BaseRepresentation
bin111010001111110001000101…
…1101011011000110111010000
32111012001021010112110211000120
41310133202023223120313100
51014123141120431243204
65013353533112350240
7212626241532151221
oct16437421353306720
92435037115424016
10512340402212304
1113927a3873a8a76
12495670040a5380
1318cb565339bc73
14907359cd27248
153e37239e636d9
hex1d1f88bad8dd0

512340402212304 has 160 divisors (see below), whose sum is σ = 1370723108487168. Its totient is φ = 164729006208000.

The previous prime is 512340402212291. The next prime is 512340402212321. The reversal of 512340402212304 is 403212204043215.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6385775869 + ... + 6385856099.

Almost surely, 2512340402212304 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 512340402212304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685361554243584).

512340402212304 is an abundant number, since it is smaller than the sum of its proper divisors (858382706274864).

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

512340402212304 is a wasteful number, since it uses less digits than its factorization.

512340402212304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94297 (or 94291 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 512340402212304 its reverse (403212204043215), we get a palindrome (915552606255519).

The spelling of 512340402212304 in words is "five hundred twelve trillion, three hundred forty billion, four hundred two million, two hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 313 372 496 626 744 939 1252 1488 1878 2504 3756 5008 7512 9703 13711 15024 19406 27422 29109 38812 41133 54844 58218 77624 80231 82266 109688 116436 155248 160462 164532 219376 232872 240693 320924 329064 425041 465744 481386 641848 658128 850082 962772 1275123 1283696 1700164 1925544 2487161 2550246 3400328 3851088 4291543 4974322 5100492 6800656 7461483 8583086 9948644 10200984 12874629 14922966 17166172 19897288 20401968 25112303 25749258 29845932 34332344 39794576 50224606 51498516 59691864 68664688 75336909 100449212 102997032 119383728 133037833 150673818 200898424 205994064 266075666 301347636 399113499 401796848 532151332 602695272 778481393 798226998 1064302664 1100047241 1205390544 1556962786 1596453996 2128605328 2200094482 2335444179 3113925572 3192907992 3300141723 4400188964 4670888358 6227851144 6385815984 6600283446 8800377928 9341776716 12455702288 13200566892 17600755856 18683553432 26401133784 34101464471 37367106864 52802267568 68202928942 102304393413 136405857884 204608786826 272811715768 344314786433 409217573652 545623431536 688629572866 818435147304 1032944359299 1377259145732 1636870294608 2065888718598 2754518291464 4131777437196 5509036582928 8263554874392 10673758379423 16527109748784 21347516758846 32021275138269 42695033517692 64042550276538 85390067035384 128085100553076 170780134070768 256170201106152 512340402212304