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2401440011442 = 2331092753148199
BaseRepresentation
bin100010111100100000111…
…110101001010010110010
322111120112111001101022000
4202330200332221102302
5303321122120331232
65035112321354430
7335332631205123
oct42744076512262
98446474041260
102401440011442
1184649931008a
123294b9498a16
131455bb31cc94
1484331dbc04a
154270102127c
hex22f20fa94b2

2401440011442 has 64 divisors (see below), whose sum is σ = 5387484960000. Its totient is φ = 792842701824.

The previous prime is 2401440011437. The next prime is 2401440011459. The reversal of 2401440011442 is 2441100441042.

It is a happy number.

2401440011442 is a `hidden beast` number, since 240 + 1 + 4 + 400 + 1 + 14 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 16130059 + ... + 16278257.

It is an arithmetic number, because the mean of its divisors is an integer number (84179452500).

Almost surely, 22401440011442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401440011442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693742480000).

2401440011442 is an abundant number, since it is smaller than the sum of its proper divisors (2986044948558).

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

2401440011442 is a wasteful number, since it uses less digits than its factorization.

2401440011442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151072 (or 151066 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 2401440011442 its reverse (2441100441042), we get a palindrome (4842540452484).

The spelling of 2401440011442 in words is "two trillion, four hundred one billion, four hundred forty million, eleven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 109 218 327 654 981 1962 2753 2943 5506 5886 8259 16518 24777 49554 74331 148199 148662 296398 300077 444597 600154 889194 900231 1333791 1800462 2667582 2700693 4001373 5401386 8002746 8102079 16153691 16204158 32307382 48461073 96922146 145383219 290766438 407991847 436149657 815983694 872299314 1223975541 2447951082 3671926623 7343853246 11015779869 22031559738 44471111323 88942222646 133413333969 266826667938 400240001907 800480003814 1200720005721 2401440011442