Search a number
-
+
3416034219024 = 243799017102677
BaseRepresentation
bin110001101101011011100…
…000011001010000010000
3110002120101022001100220210
4301231123200121100100
5421432014230002044
611133145432404120
7501541340525250
oct61553340312020
913076338040823
103416034219024
1110a7806296159
12472072b46640
131ba1910458bb
14bb4a07b7960
155dcd3b421b9
hex31b5b819410

3416034219024 has 80 divisors (see below), whose sum is σ = 10085634442368. Its totient is φ = 975990414336.

The previous prime is 3416034219019. The next prime is 3416034219029. The reversal of 3416034219024 is 4209124306143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3416034219019) and next prime (3416034219029).

It is not an unprimeable number, because it can be changed into a prime (3416034219029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33218374 + ... + 33321050.

Almost surely, 23416034219024 is an apocalyptic number.

It is an amenable number.

3416034219024 is an abundant number, since it is smaller than the sum of its proper divisors (6669600223344).

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

3416034219024 is a wasteful number, since it uses less digits than its factorization.

3416034219024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201712 (or 201706 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 3416034219024 in words is "three trillion, four hundred sixteen billion, thirty-four million, two hundred nineteen thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 99017 102677 198034 205354 297051 308031 396068 410708 594102 616062 693119 718739 792136 821416 1188204 1232124 1386238 1437478 1584272 1642832 2079357 2156217 2376408 2464248 2772476 2874956 4158714 4312434 4752816 4928496 5544952 5749912 8317428 8624868 11089904 11499824 16634856 17249736 33269712 34499472 10166768509 20333537018 30500305527 40667074036 61000611054 71167379563 81334148072 122001222108 142334759126 162668296144 213502138689 244002444216 284669518252 427004277378 488004888432 569339036504 854008554756 1138678073008 1708017109512 3416034219024