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241424150525532 = 2232138831906930637
BaseRepresentation
bin110110111001001011110000…
…101110110111011001011100
31011122210220221011000200021100
4312321023300232313121130
5223120443130013304112
62213244420150033100
7101565214340200662
oct6671136056673134
91148726834020240
10241424150525532
116aa1a453069a17
12230b174b648790
13a4932799b09b0
144388dc3d28c32
151cd9ee22422dc
hexdb92f0bb765c

241424150525532 has 144 divisors (see below), whose sum is σ = 658010460758560. Its totient is φ = 74193913833984.

The previous prime is 241424150525501. The next prime is 241424150525603. The reversal of 241424150525532 is 235525051424142.

241424150525532 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 2 + 41 + 5 + 0 + 52 + 553 + 2 = 666.

It is a congruent number.

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, 7880134518 + ... + 7880165154.

Almost surely, 2241424150525532 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 241424150525532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329005230379280).

241424150525532 is an abundant number, since it is smaller than the sum of its proper divisors (416586310233028).

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

241424150525532 is a wasteful number, since it uses less digits than its factorization.

241424150525532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50612 (or 50607 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 241424150525532 in words is "two hundred forty-one trillion, four hundred twenty-four billion, one hundred fifty million, five hundred twenty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 883 1766 2649 3532 5298 7947 10596 11479 15894 19069 22958 30637 31788 34437 38138 45916 57207 61274 68874 76276 91911 103311 114414 122548 137748 171621 183822 206622 228828 247897 275733 343242 367644 398281 413244 495794 551466 686484 743691 796562 991588 1102932 1194843 1487382 1593124 2231073 2389686 2974764 3584529 4462146 4779372 7169058 8924292 14338116 16837927 27052471 33675854 50513781 54104942 67351708 81157413 101027562 108209884 151541343 162314826 202055124 218893051 243472239 303082686 324629652 351682123 437786102 486944478 584216953 606165372 656679153 703364246 875572204 973888956 1055046369 1168433906 1313358306 1406728492 1752650859 1970037459 2110092738 2336867812 2626716612 3165139107 3505301718 3940074918 4220185476 5257952577 6330278214 7010603436 7594820389 7880149836 10515905154 12660556428 15189640778 21031810308 22784461167 30379281556 45568922334 68353383501 91137844668 136706767002 273413534004 515863569499 1031727138998 1547590708497 2063454277996 3095181416994 4642772125491 6190362833988 6706226403487 9285544250982 13412452806974 18571088501964 20118679210461 26824905613948 40237358420922 60356037631383 80474716841844 120712075262766 241424150525532