Search a number
-
+
3041004344301 = 3272112329939853
BaseRepresentation
bin101100010000001001111…
…110111101001111101101
3101202201100211011210022200
4230100021332331033231
5344310434103004201
610245003524532113
7432463631301300
oct54201176751755
911681324153280
103041004344301
11a72756745530
1241144a251039
131909c49b0b21
14a7284a22b37
15541844b9386
hex2c409fbd3ed

3041004344301 has 144 divisors (see below), whose sum is σ = 6017170872960. Its totient is φ = 1458951056640.

The previous prime is 3041004344299. The next prime is 3041004344317. The reversal of 3041004344301 is 1034434001403.

3041004344301 is a `hidden beast` number, since 3 + 0 + 4 + 10 + 0 + 4 + 344 + 301 = 666.

It is not a de Polignac number, because 3041004344301 - 21 = 3041004344299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3041004344341) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2765691 + ... + 3705543.

It is an arithmetic number, because the mean of its divisors is an integer number (41785908840).

Almost surely, 23041004344301 is an apocalyptic number.

It is an amenable number.

3041004344301 is a deficient number, since it is larger than the sum of its proper divisors (2976166528659).

3041004344301 is a wasteful number, since it uses less digits than its factorization.

3041004344301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939936 (or 939926 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 3041004344301 its reverse (1034434001403), we get a palindrome (4075438345704).

The spelling of 3041004344301 in words is "three trillion, forty-one billion, four million, three hundred forty-four thousand, three hundred one".

Divisors: 1 3 7 9 11 21 23 29 33 49 63 69 77 87 99 147 161 203 207 231 253 261 319 441 483 539 609 667 693 759 957 1127 1421 1449 1617 1771 1827 2001 2233 2277 2871 3381 4263 4669 4851 5313 6003 6699 7337 10143 12397 12789 14007 15631 15939 20097 22011 32683 37191 42021 46893 51359 66033 98049 111573 140679 154077 294147 359513 462231 939853 1078539 2819559 3235617 6578971 8458677 10338383 19736913 21616619 27255737 31015149 46052797 59210739 64849857 72368681 81767211 93045447 138158391 151316333 190790159 194549571 217106043 237782809 245301633 299813107 414475173 453948999 506580767 572370477 626881951 651318129 713348427 899439321 1059214331 1335531113 1361846997 1519742301 1664479663 1717111431 1880645853 2098691749 2140045281 2698317963 3177642993 4006593339 4388173657 4559226903 4993438989 5641937559 6296075247 6895701461 9532928979 11651357641 12019780017 13164520971 14690842243 14980316967 18888225741 20687104383 30717215599 34954072923 39493562913 44072526729 48269910227 62061313149 92151646797 104862218769 132217580187 144809730681 276454940391 337889371589 434429192043 1013668114767 3041004344301