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4055319947331 = 3243671095092819
BaseRepresentation
bin111011000000110011111…
…001111010100001000011
3112100200111012221012100100
4323000303321322201003
51012420243401303311
612342553244253443
7565662415542312
oct73006371724103
915320435835310
104055319947331
11132394042a904
12555b46541283
13235551a8a293
141003c8418279
157074c905a56
hex3b033e7a843

4055319947331 has 96 divisors (see below), whose sum is σ = 6153424992000. Its totient is φ = 2571419499264.

The previous prime is 4055319947299. The next prime is 4055319947333. The reversal of 4055319947331 is 1337499135504.

4055319947331 is a `hidden beast` number, since 4 + 0 + 5 + 53 + 1 + 99 + 473 + 31 = 666.

4055319947331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4055319947331 - 25 = 4055319947299 is a prime.

It is a super-2 number, since 2×40553199473312 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4055319947333) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1438565440 + ... + 1438568258.

It is an arithmetic number, because the mean of its divisors is an integer number (64098177000).

Almost surely, 24055319947331 is an apocalyptic number.

4055319947331 is a deficient number, since it is larger than the sum of its proper divisors (2098105044669).

4055319947331 is a wasteful number, since it uses less digits than its factorization.

4055319947331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 4055319947331 in words is "four trillion, fifty-five billion, three hundred nineteen million, nine hundred forty-seven thousand, three hundred thirty-one".

Divisors: 1 3 9 43 67 109 129 201 327 387 509 603 981 1527 2819 2881 4581 4687 7303 8457 8643 14061 21887 21909 25371 25929 34103 42183 55481 65661 65727 102309 121217 166443 188873 196983 306927 307271 314029 363651 499329 566619 921813 942087 1090953 1434871 1466429 1699857 2385683 2765439 2826261 3717227 4304613 4399287 7157049 8121539 11151681 12913839 13197861 13212653 20587157 21471147 24364617 33455043 39637959 61699453 61761471 73093851 96136357 118913877 156400939 159840761 185098359 185284413 288409071 469202817 479522283 555295077 865227213 885247751 1407608451 1438566849 2655743253 4133863351 6725240377 7967229759 10478862913 12401590053 20175721131 31436588739 37204770159 60527163393 94309766217 450591105259 1351773315777 4055319947331