Search a number
-
+
312343311242320 = 24553251761385663
BaseRepresentation
bin100011100000100110001100…
…0000111010101010001010000
31111221220201200101200210102121
41013001030120013111101100
5311414413100134223240
63024144311501424024
7122535026266063441
oct10701143007252120
91457821611623377
10312343311242320
1190582066471a66
122b046286b6b014
1310538b039c3027
14571b6d57c92c8
152619b7649904a
hex11c13181d5450

312343311242320 has 160 divisors (see below), whose sum is σ = 743825936093184. Its totient is φ = 121930897920000.

The previous prime is 312343311242317. The next prime is 312343311242399. The reversal of 312343311242320 is 23242113343213.

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, 809693809 + ... + 810079471.

Almost surely, 2312343311242320 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 312343311242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371912968046592).

312343311242320 is an abundant number, since it is smaller than the sum of its proper divisors (431482624850864).

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

312343311242320 is a wasteful number, since it uses less digits than its factorization.

312343311242320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386741 (or 386735 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

Adding to 312343311242320 its reverse (23242113343213), we get a palindrome (335585424585533).

The spelling of 312343311242320 in words is "three hundred twelve trillion, three hundred forty-three billion, three hundred eleven million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 251 265 424 502 530 761 848 1004 1060 1255 1522 2008 2120 2510 3044 3805 4016 4240 5020 6088 7610 10040 12176 13303 15220 20080 26606 30440 40333 53212 60880 66515 80666 106424 133030 161332 191011 201665 212848 266060 322664 382022 385663 403330 532120 645328 764044 771326 806660 955055 1064240 1528088 1542652 1613320 1910110 1928315 3056176 3085304 3226640 3820220 3856630 6170608 7640440 7713260 10123583 15280880 15426520 20247166 20440139 30853040 40494332 40880278 50617915 80988664 81760556 96801413 101235830 102200695 161977328 163521112 193602826 202471660 204401390 293489543 327042224 387205652 404943320 408802780 484007065 586979086 774411304 809886640 817605560 968014130 1173958172 1467447715 1548822608 1635211120 1936028260 2347916344 2934895430 3872056520 4695832688 5130474889 5869790860 7744113040 10260949778 11739581720 15554945779 20521899556 23479163440 25652374445 31109891558 41043799112 51304748890 62219783116 73665875293 77774728895 82087598224 102609497780 124439566232 147331750586 155549457790 205218995560 248879132464 294663501172 311098915580 368329376465 410437991120 589327002344 622197831160 736658752930 1178654004688 1244395662320 1473317505860 2946635011720 3904291390529 5893270023440 7808582781058 15617165562116 19521456952645 31234331124232 39042913905290 62468662248464 78085827810580 156171655621160 312343311242320