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42344112440100 = 223521129125019523
BaseRepresentation
bin10011010000011000000011…
…10001111100001100100100
312112221001120000001000210110
421220030001301330030210
521022231220241040400
6230020341113053020
711630155403035302
oct1150140161741444
9175831500030713
1042344112440100
1112546045622319
1248ba6a56b7170
131a82056a0c5a3
14a656748db272
154d6702e25e50
hex268301c7c324

42344112440100 has 72 divisors (see below), whose sum is σ = 122624149920160. Its totient is φ = 11281761665280.

The previous prime is 42344112440089. The next prime is 42344112440111. The reversal of 42344112440100 is 104421144324.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42344112440089) and next prime (42344112440111).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62171062 + ... + 62848461.

Almost surely, 242344112440100 is an apocalyptic number.

It is an amenable number.

42344112440100 is an abundant number, since it is smaller than the sum of its proper divisors (80280037480060).

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

42344112440100 is a wasteful number, since it uses less digits than its factorization.

42344112440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125020669 (or 125020662 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 42344112440100 its reverse (104421144324), we get a palindrome (42448533584424).

The spelling of 42344112440100 in words is "forty-two trillion, three hundred forty-four billion, one hundred twelve million, four hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1129 2258 3387 4516 5645 6774 11290 13548 16935 22580 28225 33870 56450 67740 84675 112900 169350 338700 125019523 250039046 375058569 500078092 625097615 750117138 1250195230 1500234276 1875292845 2500390460 3125488075 3750585690 6250976150 7501171380 9376464225 12501952300 18752928450 37505856900 141147041467 282294082934 423441124401 564588165868 705735207335 846882248802 1411470414670 1693764497604 2117205622005 2822940829340 3528676036675 4234411244010 7057352073350 8468822488020 10586028110025 14114704146700 21172056220050 42344112440100