Search a number
-
+
3029084809344 = 27331179679209
BaseRepresentation
bin101100000101000011100…
…001100010100010000000
3101201120121010110200021000
4230011003201202202000
5344112031202344334
610235313051532000
7431562355025436
oct54050341424200
911646533420230
103029084809344
11a6869a4524a0
1240b08245a000
1318c845410269
14a687398cd56
1553bd7d40299
hex2c143862880

3029084809344 has 128 divisors (see below), whose sum is σ = 9752735304000. Its totient is φ = 917904476160.

The previous prime is 3029084809343. The next prime is 3029084809363. The reversal of 3029084809344 is 4439084809203.

3029084809344 is a `hidden beast` number, since 3 + 0 + 290 + 8 + 4 + 8 + 0 + 9 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3029084809343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39801589 + ... + 39877620.

Almost surely, 23029084809344 is an apocalyptic number.

It is an amenable number.

3029084809344 is an abundant number, since it is smaller than the sum of its proper divisors (6723650494656).

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

3029084809344 is a wasteful number, since it uses less digits than its factorization.

3029084809344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79679243 (or 79679225 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 3029084809344 in words is "three trillion, twenty-nine billion, eighty-four million, eight hundred nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2376 3168 3456 4224 4752 6336 9504 12672 19008 38016 79679209 159358418 239037627 318716836 478075254 637433672 717112881 876471299 956150508 1274867344 1434225762 1752942598 1912301016 2151338643 2549734688 2629413897 2868451524 3505885196 3824602032 4302677286 5099469376 5258827794 5736903048 7011770392 7649204064 7888241691 8605354572 10198938752 10517655588 11473806096 14023540784 15298408128 15776483382 17210709144 21035311176 22947612192 23664725073 28047081568 30596816256 31552966764 34421418288 42070622352 45895224384 47329450146 56094163136 63105933528 68842836576 84141244704 91790448768 94658900292 112188326272 126211867056 137685673152 168282489408 189317800584 252423734112 275371346304 336564978816 378635601168 504847468224 757271202336 1009694936448 1514542404672 3029084809344