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4334414344312 = 2313412719713863
BaseRepresentation
bin111111000100101111001…
…110100011000001111000
3120100100212210021120001011
4333010233032203001320
51032003340033004222
613115111422003304
7625102554015013
oct77045716430170
916310783246034
104334414344312
11142123a999138
125a0056716534
1325596c705490
1410db02c9a37a
1577b34ab1c77
hex3f12f3a3078

4334414344312 has 128 divisors (see below), whose sum is σ = 9010333624320. Its totient is φ = 1941998976000.

The previous prime is 4334414344303. The next prime is 4334414344369. The reversal of 4334414344312 is 2134434144334.

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, 1122031293 + ... + 1122035155.

It is an arithmetic number, because the mean of its divisors is an integer number (70393231440).

Almost surely, 24334414344312 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 4334414344312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505166812160).

4334414344312 is an abundant number, since it is smaller than the sum of its proper divisors (4675919280008).

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

4334414344312 is a wasteful number, since it uses less digits than its factorization.

4334414344312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5165 (or 5161 counting only the distinct ones).

The product of its digits is 663552, while the sum is 40.

Adding to 4334414344312 its reverse (2134434144334), we get a palindrome (6468848488646).

The spelling of 4334414344312 in words is "four trillion, three hundred thirty-four billion, four hundred fourteen million, three hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 271 328 533 542 971 1066 1084 1942 2132 2168 3523 3863 3884 4264 7046 7726 7768 11111 12623 14092 15452 22222 25246 28184 30904 39811 44444 50219 50492 79622 88888 100438 100984 144443 158383 159244 200876 263141 288886 316766 318488 401752 517543 526282 577772 633532 1035086 1046873 1052564 1155544 1267064 2058979 2070172 2093746 2105128 3420833 3750973 4117958 4140344 4187492 6841666 7501946 8235916 8374984 10788781 13609349 13683332 15003892 16471832 21577562 27218698 27366664 30007784 42921793 43155124 48762649 54437396 85843586 86310248 97525298 108874792 140254153 153789893 171687172 195050596 280508306 307579786 343374344 390101192 557983309 561016612 615159572 1016513683 1115966618 1122033224 1230319144 1999268609 2033027366 2231933236 3998537218 4066054732 4463866472 7997074436 8132109464 13214677879 15994148872 26429355758 41677061003 52858711516 83354122006 105717423032 166708244012 333416488024 541801793039 1083603586078 2167207172156 4334414344312