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311283741712 = 241729437911617
BaseRepresentation
bin1001000011110011111…
…01001111010000010000
31002202110220021111102211
410201321331033100100
520100002114213322
6355000214521504
731326621101446
oct4417175172020
91082426244384
10311283741712
11110018614479
12503b4366294
132347a780a58
14110cd992b96
15816d0e9b77
hex4879f4f410

311283741712 has 160 divisors (see below), whose sum is σ = 684588326400. Its totient is φ = 136385593344.

The previous prime is 311283741697. The next prime is 311283741719. The reversal of 311283741712 is 217147382113.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (311283741719) 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, 26789728 + ... + 26801344.

It is an arithmetic number, because the mean of its divisors is an integer number (4278677040).

Almost surely, 2311283741712 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 311283741712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342294163200).

311283741712 is an abundant number, since it is smaller than the sum of its proper divisors (373304584688).

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

311283741712 is a wasteful number, since it uses less digits than its factorization.

311283741712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11793 (or 11787 counting only the distinct ones).

The product of its digits is 56448, while the sum is 40.

The spelling of 311283741712 in words is "three hundred eleven billion, two hundred eighty-three million, seven hundred forty-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 17 29 34 43 58 68 79 86 116 136 158 172 232 272 316 344 464 493 632 688 731 986 1247 1264 1343 1462 1972 2291 2494 2686 2924 3397 3944 4582 4988 5372 5848 6794 7888 9164 9976 10744 11617 11696 13588 18328 19952 21199 21488 23234 27176 36656 38947 42398 46468 54352 57749 77894 84796 92936 98513 115498 155788 169592 185872 197026 197489 230996 311576 336893 339184 394052 394978 461992 499531 623152 673786 788104 789956 917743 923984 999062 1347572 1576208 1579912 1674721 1835486 1998124 2695144 3159824 3349442 3670972 3996248 5390288 5727181 6698884 7341944 7992496 8492027 11454362 13397768 14486399 14683888 15601631 16984054 22908724 26614547 26795536 28972798 31203262 33968108 39462949 45817448 53229094 57945596 62406524 67936216 78925898 91634896 106458188 115891192 124813048 135872432 157851796 212916376 231782384 246268783 249626096 315703592 425832752 452447299 492537566 631407184 670870133 904894598 985075132 1144425521 1341740266 1809789196 1970150264 2288851042 2683480532 3619578392 3940300528 4577702084 5366961064 7239156784 9155404168 10733922128 18310808336 19455233857 38910467714 77820935428 155641870856 311283741712