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3343022132016 = 2437191812893129
BaseRepresentation
bin110000101001011011101…
…001011000101100110000
3102211120220221221001110010
4300221123221120230300
5414233002131211031
611035432502134520
7463345130161650
oct60513351305460
912746827831403
103343022132016
111079849928586
1245ba97421440
131b3326874258
14b7b35b30360
155be5dda1246
hex30a5ba58b30

3343022132016 has 160 divisors (see below), whose sum is σ = 10446745254400. Its totient is φ = 899878533120.

The previous prime is 3343022131961. The next prime is 3343022132017. The reversal of 3343022132016 is 6102312203433.

It is a super-2 number, since 2×33430221320162 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3343022132017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291061 + ... + 2602068.

It is an arithmetic number, because the mean of its divisors is an integer number (65292157840).

Almost surely, 23343022132016 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 3343022132016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5223372627200).

3343022132016 is an abundant number, since it is smaller than the sum of its proper divisors (7103723122384).

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

3343022132016 is a wasteful number, since it uses less digits than its factorization.

3343022132016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893347 (or 2893341 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 3343022132016 its reverse (6102312203433), we get a palindrome (9445334335449).

The spelling of 3343022132016 in words is "three trillion, three hundred forty-three billion, twenty-two million, one hundred thirty-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 181 228 266 304 336 362 399 456 532 543 724 798 912 1064 1086 1267 1448 1596 2128 2172 2534 2896 3192 3439 3801 4344 5068 6384 6878 7602 8688 10136 10317 13756 15204 20272 20634 24073 27512 30408 41268 48146 55024 60816 72219 82536 96292 144438 165072 192584 288876 385168 577752 1155504 2893129 5786258 8679387 11572516 17358774 20251903 23145032 34717548 40503806 46290064 54969451 60755709 69435096 81007612 109938902 121511418 138870192 162015224 164908353 219877804 243022836 324030448 329816706 384786157 439755608 486045672 523656349 659633412 769572314 879511216 972091344 1047312698 1154358471 1319266824 1539144628 1570969047 2094625396 2308716942 2638533648 3078289256 3141938094 3665594443 4189250792 4617433884 6156578512 6283876188 7331188886 8378501584 9234867768 9949470631 10996783329 12567752376 14662377772 18469735536 19898941262 21993566658 25135504752 29324755544 29848411893 39797882524 43987133316 58649511088 59696823786 69646294417 79595765048 87974266632 119393647572 139292588834 159191530096 175948533264 208938883251 238787295144 278585177668 417877766502 477574590288 557170355336 835755533004 1114340710672 1671511066008 3343022132016