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241235440030520 = 2351313731573107251
BaseRepresentation
bin110110110110011100000000…
…101101011101001100111000
31011122010212211120221021012022
4312312130000231131030320
5223104400140121434040
62213022010425134012
7101545454042355455
oct6666340055351470
91148125746837168
10241235440030520
116a9574149a1a31
122308106492a308
13a47b534580cb0
14437dc0135882c
151cd5149e966b5
hexdb6700b5d338

241235440030520 has 128 divisors (see below), whose sum is σ = 588822823794240. Its totient is φ = 88417764864000.

The previous prime is 241235440030471. The next prime is 241235440030523. The reversal of 241235440030520 is 25030044532142.

It is a happy number.

241235440030520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2412354400305202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241235440030523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2249206895 + ... + 2249314145.

Almost surely, 2241235440030520 is an apocalyptic number.

241235440030520 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 241235440030520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294411411897120).

241235440030520 is an abundant number, since it is smaller than the sum of its proper divisors (347587383763720).

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

241235440030520 is a wasteful number, since it uses less digits than its factorization.

241235440030520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138985 (or 138981 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 241235440030520 its reverse (25030044532142), we get a palindrome (266265484562662).

The spelling of 241235440030520 in words is "two hundred forty-one trillion, two hundred thirty-five billion, four hundred forty million, thirty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 137 260 274 520 548 685 1096 1370 1781 2740 3562 5480 7124 8905 14248 17810 31573 35620 63146 71240 107251 126292 157865 214502 252584 315730 410449 429004 536255 631460 820898 858008 1072510 1262920 1394263 1641796 2052245 2145020 2788526 3283592 4104490 4290040 4325501 5577052 6971315 8208980 8651002 11154104 13942630 14693387 16417960 17302004 21627505 27885260 29386774 34604008 43255010 55770520 56231513 58773548 73466935 86510020 112463026 117547096 146933870 173020040 191014031 224926052 281157565 293867740 382028062 449852104 562315130 587735480 764056124 955070155 1124630260 1528112248 1910140310 2249260520 3386235823 3820280620 6772471646 7640561240 13544943292 16931179115 27089886584 33862358230 44021065699 67724716460 88042131398 135449432920 176084262796 220105328495 352168525592 440210656990 463914307751 880421313980 927828615502 1760842627960 1855657231004 2319571538755 3711314462008 4639143077510 6030886000763 9278286155020 12061772001526 18556572310040 24123544003052 30154430003815 48247088006104 60308860007630 120617720015260 241235440030520