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3046434232744 = 2373115113618539
BaseRepresentation
bin101100010101001101101…
…000010101100110101000
3101210020101020110200222001
4230111031220111212220
5344403044130421434
610251302414140344
7433045323502660
oct54251550254650
911706336420861
103046434232744
11a74a92782041
124125047b16b4
1319137b917276
14a763bc291a0
15543a103a114
hex2c54da159a8

3046434232744 has 128 divisors (see below), whose sum is σ = 6789062246400. Its totient is φ = 1254061440000.

The previous prime is 3046434232727. The next prime is 3046434232753. The reversal of 3046434232744 is 4472324346403.

It is a super-3 number, since 3×30464342327443 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3046434232694 and 3046434232703.

It is an unprimeable number.

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, 356762827 + ... + 356771365.

It is an arithmetic number, because the mean of its divisors is an integer number (53039548800).

Almost surely, 23046434232744 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 3046434232744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394531123200).

3046434232744 is an abundant number, since it is smaller than the sum of its proper divisors (3742628013656).

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

3046434232744 is a wasteful number, since it uses less digits than its factorization.

3046434232744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10095 (or 10091 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 46.

The spelling of 3046434232744 in words is "three trillion, forty-six billion, four hundred thirty-four million, two hundred thirty-two thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 151 217 248 302 434 604 868 1057 1208 1361 1736 2114 2722 4228 4681 5444 8456 8539 9362 9527 10888 17078 18724 19054 32767 34156 37448 38108 42191 59773 65534 68312 76216 84382 119546 131068 168764 205511 239092 262136 264709 295337 337528 411022 478184 529418 590674 822044 1058836 1181348 1289389 1438577 1644088 1852963 2117672 2362696 2578778 2877154 3705926 5157556 5754308 6370841 7411852 9025723 10315112 11508616 11621579 12741682 14823704 18051446 23243158 25483364 36102892 39971059 44595887 46486316 50966728 72205784 79942118 81351053 89191774 92972632 159884236 162702106 178383548 279797413 319768472 325404212 356767096 360268949 559594826 650808424 720537898 1119189652 1441075796 1754858429 2238379304 2521882643 2882151592 3509716858 5043765286 7019433716 10087530572 12284009003 14038867432 20175061144 24568018006 49136036012 54400611299 98272072024 108801222598 217602445196 380804279093 435204890392 761608558186 1523217116372 3046434232744