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3243014116146 = 2327297227166987
BaseRepresentation
bin101111001100010010101…
…101000101001100110010
3102111000210020012110111100
4233030102231011030302
5411113143103204041
610521453051225230
7453204625106400
oct57142255051462
912430706173440
103243014116146
111040399a17aa2
12444626a48216
131a6a794b90bc
14b2d699c4470
15595590d16b6
hex2f312b45332

3243014116146 has 144 divisors (see below), whose sum is σ = 8294412855456. Its totient is φ = 912977920512.

The previous prime is 3243014116093. The next prime is 3243014116169. The reversal of 3243014116146 is 6416114103423.

3243014116146 is a `hidden beast` number, since 3 + 2 + 4 + 30 + 1 + 4 + 1 + 1 + 614 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3243014116146.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19337265 + ... + 19504251.

It is an arithmetic number, because the mean of its divisors is an integer number (57600089274).

Almost surely, 23243014116146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3243014116146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147206427728).

3243014116146 is an abundant number, since it is smaller than the sum of its proper divisors (5051398739310).

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

3243014116146 is a wasteful number, since it uses less digits than its factorization.

3243014116146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167333 (or 167323 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 3243014116146 its reverse (6416114103423), we get a palindrome (9659128219569).

The spelling of 3243014116146 in words is "three trillion, two hundred forty-three billion, fourteen million, one hundred sixteen thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 97 98 126 147 194 227 291 294 441 454 582 679 681 873 882 1358 1362 1589 1746 2037 2043 3178 4074 4086 4753 4767 6111 9506 9534 11123 12222 14259 14301 22019 22246 28518 28602 33369 42777 44038 66057 66738 85554 100107 132114 154133 166987 198171 200214 308266 333974 396342 462399 500961 924798 1001922 1078931 1168909 1387197 1502883 2157862 2337818 2774394 3005766 3236793 3506727 6473586 7013454 8182363 9710379 10520181 16197739 16364726 19420758 21040362 24547089 32395478 37906049 48593217 49094178 73641267 75812098 97186434 113384173 113718147 145779651 147282534 226768346 227436294 265342343 291559302 340152519 341154441 530684686 680305038 682308882 793689211 796027029 1020457557 1587378422 1592054058 1857396401 2040915114 2381067633 2388081087 3676886753 3714792802 4762135266 4776162174 5572189203 7143202899 7353773506 11030660259 11144378406 14286405798 16716567609 22061320518 25738207271 33091980777 33433135218 51476414542 66183961554 77214621813 154429243626 180167450897 231643865439 360334901794 463287730878 540502352691 1081004705382 1621507058073 3243014116146