Search a number
-
+
6141442441416 = 2331972773746831
BaseRepresentation
bin101100101011110101001…
…1111101100000011001000
3210202010010200110001021120
41121113222133230003020
51301110133231111131
621021201213235240
71202463445300062
oct131275237540310
923663120401246
106141442441416
111a58631173137
12832304792b20
1335719ba10409
14173366c1a732
15a9b46634496
hex595ea7ec0c8

6141442441416 has 64 divisors (see below), whose sum is σ = 15432429070080. Its totient is φ = 2036638947840.

The previous prime is 6141442441403. The next prime is 6141442441451.

It is a happy number.

6141442441416 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×61414424414162 (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 131117121 + ... + 131163951.

It is an arithmetic number, because the mean of its divisors is an integer number (241131704220).

Almost surely, 26141442441416 is an apocalyptic number.

It is an amenable number.

6141442441416 is an abundant number, since it is smaller than the sum of its proper divisors (9290986628664).

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

6141442441416 is a wasteful number, since it uses less digits than its factorization.

6141442441416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74774 (or 74770 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The spelling of 6141442441416 in words is "six trillion, one hundred forty-one billion, four hundred forty-two million, four hundred forty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 197 394 591 788 1182 1576 2364 4728 27737 46831 55474 83211 93662 110948 140493 166422 187324 221896 280986 332844 374648 561972 665688 1123944 5464189 9225707 10928378 16392567 18451414 21856756 27677121 32785134 36902828 43713512 55354242 65570268 73805656 110708484 131140536 221416968 1298951447 2597902894 3896854341 5195805788 7793708682 10391611576 15587417364 31174834728 255893435059 511786870118 767680305177 1023573740236 1535360610354 2047147480472 3070721220708 6141442441416