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312042112332440 = 235723187312586821
BaseRepresentation
bin100011011110011001111011…
…1010000101011001010011000
31111220211221020022210211111212
41012330303313100223022120
5311344444221224114230
63023354100055442252
7122504204302433030
oct10674636720531230
91456757208724455
10312042112332440
1190476353543a56
122abb7a28086388
13105165a26921b9
14570acc135c8c0
152611de8917895
hex11bccf742b298

312042112332440 has 128 divisors (see below), whose sum is σ = 837325722885120. Its totient is φ = 102328804723200.

The previous prime is 312042112332437. The next prime is 312042112332481. The reversal of 312042112332440 is 44233211240213.

It is a happy number.

It is a super-2 number, since 2×3120421123324402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312042112332397 and 312042112332406.

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, 119334230 + ... + 121921050.

It is an arithmetic number, because the mean of its divisors is an integer number (6541607210040).

Almost surely, 2312042112332440 is an apocalyptic number.

It is an amenable number.

312042112332440 is an abundant number, since it is smaller than the sum of its proper divisors (525283610552680).

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

312042112332440 is a wasteful number, since it uses less digits than its factorization.

312042112332440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605593 (or 2605589 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 312042112332440 its reverse (44233211240213), we get a palindrome (356275323572653).

The spelling of 312042112332440 in words is "three hundred twelve trillion, forty-two billion, one hundred twelve million, three hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 18731 37462 74924 93655 131117 149848 187310 262234 374620 430813 524468 655585 749240 861626 1048936 1311170 1723252 2154065 2586821 2622340 3015691 3446504 4308130 5173642 5244680 6031382 8616260 10347284 12062764 12934105 15078455 17232520 18107747 20694568 24125528 25868210 30156910 36215494 51736420 59496883 60313820 72430988 90538735 103472840 118993766 120627640 144861976 181077470 237987532 297484415 362154940 416478181 475975064 594968830 724309880 832956362 1189937660 1665912724 2082390905 2379875320 3331825448 4164781810 8329563620 16659127240 48453744151 96907488302 193814976604 242268720755 339176209057 387629953208 484537441510 678352418114 969074883020 1114436115473 1356704836228 1695881045285 1938149766040 2228872230946 2713409672456 3391762090570 4457744461892 5572180577365 6783524181140 7801052808311 8915488923784 11144361154730 13567048362280 15602105616622 22288722309460 31204211233244 39005264041555 44577444618920 62408422466488 78010528083110 156021056166220 312042112332440