Search a number
-
+
241425510144640 = 2758336371249631
BaseRepresentation
bin110110111001001101000001…
…110001011001101010000000
31011122211001102220101111001121
4312321031001301121222000
5223121003421044112030
62213245203115242024
7101565263126601043
oct6671150161315200
91148731386344047
10241425510144640
116aa1aa90587978
12230b1a6aa49314
13a493435591443
1443890b2728c5a
151cda0717ac47a
hexdb9341c59a80

241425510144640 has 128 divisors (see below), whose sum is σ = 584272639480320. Its totient is φ = 95380399042560.

The previous prime is 241425510144517. The next prime is 241425510144683. The reversal of 241425510144640 is 46441015524142.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192572625 + ... + 193822255.

It is an arithmetic number, because the mean of its divisors is an integer number (4564629995940).

Almost surely, 2241425510144640 is an apocalyptic number.

241425510144640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241425510144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292136319740160).

241425510144640 is an abundant number, since it is smaller than the sum of its proper divisors (342847129335680).

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

241425510144640 is a wasteful number, since it uses less digits than its factorization.

241425510144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253370 (or 1253358 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 43.

Adding to 241425510144640 its reverse (46441015524142), we get a palindrome (287866525668782).

The spelling of 241425510144640 in words is "two hundred forty-one trillion, four hundred twenty-five billion, five hundred ten million, one hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 320 332 415 640 664 830 1328 1660 2656 3320 3637 5312 6640 7274 10624 13280 14548 18185 26560 29096 36370 53120 58192 72740 116384 145480 232768 290960 301871 465536 581920 603742 1163840 1207484 1249631 1509355 2327680 2414968 2499262 3018710 4829936 4998524 6037420 6248155 9659872 9997048 12074840 12496310 19319744 19994096 24149680 24992620 38639488 39988192 48299360 49985240 79976384 96598720 99970480 103719373 159952768 193197440 199940960 207438746 399881920 414877492 518596865 799763840 829754984 1037193730 1659509968 2074387460 3319019936 4148774920 4544907947 6638039872 8297549840 9089815894 13276079744 16595099680 18179631788 22724539735 33190199360 36359263576 45449079470 66380398720 72718527152 90898158940 145437054304 181796317880 290874108608 363592635760 377227359601 581748217216 727185271520 754454719202 1454370543040 1508909438404 1886136798005 2908741086080 3017818876808 3772273596010 6035637753616 7544547192020 12071275507232 15089094384040 24142551014464 30178188768080 48285102028928 60356377536160 120712755072320 241425510144640