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34981231473408 = 2831129142785199
BaseRepresentation
bin1111111010000101100111…
…11000000011001100000000
311120212011200011111221120210
413331002303320003030000
514041113030224122113
6202222053401034120
710240211345326053
oct775026370031400
9146764604457523
1034981231473408
1110167503231810
123b0b71b785940
13166993ccbc87c
1488d15a210a9a
15409e1e9356c3
hex1fd0b3e03300

34981231473408 has 144 divisors (see below), whose sum is σ = 105067061568000. Its totient is φ = 10234842992640.

The previous prime is 34981231473407. The next prime is 34981231473451. The reversal of 34981231473408 is 80437413218943.

It is a super-2 number, since 2×349812314734082 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34981231473401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71147608 + ... + 71637591.

It is an arithmetic number, because the mean of its divisors is an integer number (729632372000).

Almost surely, 234981231473408 is an apocalyptic number.

It is an amenable number.

34981231473408 is an abundant number, since it is smaller than the sum of its proper divisors (70085830094592).

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

34981231473408 is a wasteful number, since it uses less digits than its factorization.

34981231473408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142785258 (or 142785244 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 34981231473408 in words is "thirty-four trillion, nine hundred eighty-one billion, two hundred thirty-one million, four hundred seventy-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 128 132 174 176 192 232 256 264 319 348 352 384 464 528 638 696 704 768 928 957 1056 1276 1392 1408 1856 1914 2112 2552 2784 2816 3712 3828 4224 5104 5568 7424 7656 8448 10208 11136 15312 20416 22272 30624 40832 61248 81664 122496 244992 142785199 285570398 428355597 571140796 856711194 1142281592 1570637189 1713422388 2284563184 3141274378 3426844776 4140770771 4569126368 4711911567 6282548756 6853689552 8281541542 9138252736 9423823134 12422312313 12565097512 13707379104 16563083084 18276505472 18847646268 24844624626 25130195024 27414758208 33126166168 36553010944 37695292536 45548478481 49689249252 50260390048 54829516416 66252332336 75390585072 91096956962 99378498504 100520780096 109659032832 132504664672 136645435443 150781170144 182193913924 198756997008 201041560192 265009329344 273290870886 301562340288 364387827848 397513994016 402083120384 530018658688 546581741772 603124680576 728775655696 795027988032 1060037317376 1093163483544 1206249361152 1457551311392 1590055976064 2186326967088 2915102622784 3180111952128 4372653934176 5830205245568 8745307868352 11660410491136 17490615736704 34981231473408