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241464464142 = 23116788161981
BaseRepresentation
bin1110000011100001100…
…1110101001100001110
3212002021001222201010120
43200320121311030032
512424004400323032
6302532141245410
723305500036366
oct3407031651416
9762231881116
10241464464142
119344a438890
123a969b63866
1319a01901065
14b988d819a6
1564337d662c
hex383867530e

241464464142 has 64 divisors (see below), whose sum is σ = 535310270208. Its totient is φ = 71995968000.

The previous prime is 241464464071. The next prime is 241464464147.

241464464142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 241464464094 and 241464464103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241464464147) 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, 3864792 + ... + 3926772.

It is an arithmetic number, because the mean of its divisors is an integer number (8364222972).

Almost surely, 2241464464142 is an apocalyptic number.

241464464142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 241464464142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267655135104).

241464464142 is an abundant number, since it is smaller than the sum of its proper divisors (293845806066).

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

241464464142 is a wasteful number, since it uses less digits than its factorization.

241464464142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62945.

The product of its digits is 589824, while the sum is 42.

The spelling of 241464464142 in words is "two hundred forty-one billion, four hundred sixty-four million, four hundred sixty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 67 134 201 402 737 881 1474 1762 2211 2643 4422 5286 9691 19382 29073 58146 59027 61981 118054 123962 177081 185943 354162 371886 649297 681791 1298594 1363582 1947891 2045373 3895782 4090746 4152727 8305454 12458181 24916362 45679997 54605261 91359994 109210522 137039991 163815783 274079982 327631566 600657871 1201315742 1801973613 3603947226 3658552487 7317104974 10975657461 21951314922 40244077357 80488154714 120732232071 241464464142