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241461430004004 = 223727119512964523
BaseRepresentation
bin110110111001101110011110…
…110000110010100100100100
31011122221111011012221101211020
4312321232132300302210210
5223122101002040112004
62213313503302411140
7101601004221425100
oct6671563660624444
91148844135841736
10241461430004004
116aa34243394961
12230b8a14430ab0
13a49693b242bb2
14438ab1d080900
151cdae74e8d8d9
hexdb9b9ec32924

241461430004004 has 144 divisors (see below), whose sum is σ = 664967113445376. Its totient is φ = 67982418504000.

The previous prime is 241461430003993. The next prime is 241461430004017. The reversal of 241461430004004 is 400400034164142.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79968087 + ... + 82932609.

It is an arithmetic number, because the mean of its divisors is an integer number (4617827176704).

Almost surely, 2241461430004004 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 241461430004004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332483556722688).

241461430004004 is an abundant number, since it is smaller than the sum of its proper divisors (423505683441372).

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

241461430004004 is a wasteful number, since it uses less digits than its factorization.

241461430004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966566 (or 2966557 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 241461430004004 its reverse (400400034164142), we get a palindrome (641861464168146).

The spelling of 241461430004004 in words is "two hundred forty-one trillion, four hundred sixty-one billion, four hundred thirty million, four thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 71 84 98 142 147 196 213 284 294 426 497 588 852 994 1491 1951 1988 2982 3479 3902 5853 5964 6958 7804 10437 11706 13657 13916 20874 23412 27314 40971 41748 54628 81942 95599 138521 163884 191198 277042 286797 382396 415563 554084 573594 831126 969647 1147188 1662252 1939294 2908941 2964523 3878588 5817882 5929046 6787529 8893569 11635764 11858092 13575058 17787138 20362587 20751661 27150116 35574276 40725174 41503322 62254983 81450348 83006644 124509966 145261627 210481133 249019932 290523254 420962266 435784881 581046508 631443399 841924532 871569762 1262886798 1473367931 1743139524 2525773596 2946735862 4420103793 5783784373 5893471724 8840207586 10313575517 11567568746 17351353119 17680415172 20627151034 23135137492 30940726551 34702706238 40486490611 41254302068 61881453102 69405412476 80972981222 121459471833 123762906204 161945962444 242918943666 283405434277 410648690483 485837887332 566810868554 821297380966 850216302831 1133621737108 1231946071449 1642594761932 1700432605662 2463892142898 2874540833381 3400865211324 4927784285796 5749081666762 8623622500143 11498163333524 17247245000286 20121785833667 34494490000572 40243571667334 60365357501001 80487143334668 120730715002002 241461430004004