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241005033152 = 261317113150791
BaseRepresentation
bin1110000001110100000…
…1001111011011000000
3212001002001111012021222
43200131001033123000
512422034242030102
6302414410134212
723261220660422
oct3403501173300
9761061435258
10241005033152
1193234070554
123a860121368
131995a6817c0
14b943d4a812
1564082d3aa2
hex381d04f6c0

241005033152 has 112 divisors (see below), whose sum is σ = 550157977152. Its totient is φ = 103762821120.

The previous prime is 241005033097. The next prime is 241005033221. The reversal of 241005033152 is 251330500142.

It is a happy number.

241005033152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 1522877 + ... + 1673667.

It is an arithmetic number, because the mean of its divisors is an integer number (4912124796).

Almost surely, 2241005033152 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 241005033152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275078988576).

241005033152 is an abundant number, since it is smaller than the sum of its proper divisors (309152944000).

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

241005033152 is a wasteful number, since it uses less digits than its factorization.

241005033152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150946 (or 150936 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 241005033152 its reverse (251330500142), we get a palindrome (492335533294).

The spelling of 241005033152 in words is "two hundred forty-one billion, five million, thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 113 136 208 221 226 272 416 442 452 544 832 884 904 1088 1469 1768 1808 1921 2938 3536 3616 3842 5876 7072 7232 7684 11752 14144 15368 23504 24973 30736 47008 49946 61472 94016 99892 122944 150791 199784 301582 399568 603164 799136 1206328 1598272 1960283 2412656 2563447 3920566 4825312 5126894 7841132 9650624 10253788 15682264 17039383 20507576 31364528 33324811 34078766 41015152 62729056 66649622 68157532 82030304 125458112 133299244 136315064 164060608 221511979 266598488 272630128 289669511 443023958 533196976 545260256 579339022 886047916 1066393952 1090520512 1158678044 1772095832 2132787904 2317356088 3544191664 3765703643 4634712176 7088383328 7531407286 9269424352 14176766656 15062814572 18538848704 30125629144 60251258288 120502516576 241005033152