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241240354520152 = 231329293691395069
BaseRepresentation
bin110110110110100000100101…
…101000101111110001011000
31011122011100112002102012120211
4312312200211220233301120
5223104440221224121102
62213024142223500504
7101546016606006541
oct6666404550576130
91148140462365524
10241240354520152
116a959507004809
1223081bb6757734
13a47bb387a0320
144380149d1b4c8
151cd533665b7d7
hexdb6825a2fc58

241240354520152 has 128 divisors (see below), whose sum is σ = 506370068568000. Its totient is φ = 106980116060160.

The previous prime is 241240354520147. The next prime is 241240354520183. The reversal of 241240354520152 is 251025453042142.

241240354520152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610430874 + ... + 610825942.

Almost surely, 2241240354520152 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 241240354520152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253185034284000).

241240354520152 is an abundant number, since it is smaller than the sum of its proper divisors (265129714047848).

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

241240354520152 is a wasteful number, since it uses less digits than its factorization.

241240354520152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396101 (or 396097 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

The spelling of 241240354520152 in words is "two hundred forty-one trillion, two hundred forty billion, three hundred fifty-four million, five hundred twenty thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 293 377 586 691 754 1172 1382 1508 2344 2764 3016 3809 5528 7618 8497 8983 15236 16994 17966 20039 30472 33988 35932 40078 67976 71864 80156 110461 160312 202463 220922 260507 395069 404926 441844 521014 790138 809852 883688 1042028 1580276 1619704 2084056 2632019 3160552 5135897 5264038 5871427 10271794 10528076 11457001 11742854 20543588 21056152 22914002 23485708 41087176 45828004 46971416 76328551 91656008 115755217 148941013 152657102 231510434 272992679 297882026 305314204 463020868 545985358 595764052 610628408 926041736 1091970716 1191528104 1504817821 2183941432 3009635642 3356901293 3548904827 6019271284 6713802586 7097809654 7916787691 12038542568 13427605172 14195619308 15833575382 26855210344 28391238616 31667150764 43639716809 63334301528 79986854947 87279433618 102918239983 159973709894 174558867236 205836479966 319947419788 349117734472 411672959932 639894839576 823345919864 1039829114311 2079658228622 2319618793463 4159316457244 4639237586926 8318632914488 9278475173852 18556950347704 30155044315019 60310088630038 120620177260076 241240354520152