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104012442340 = 22597355715073
BaseRepresentation
bin110000011011110011…
…1111110101011100100
3100221110210202112101021
41200313213332223210
53201004141123330
6115441015340524
710341345113062
oct1406747765344
9327423675337
10104012442340
1140125348454
12181a9681744
139a67b99591
145069cd3032
152a8b61b67a
hex18379feae4

104012442340 has 48 divisors (see below), whose sum is σ = 220754629872. Its totient is φ = 41161752576.

The previous prime is 104012442307. The next prime is 104012442341. The reversal of 104012442340 is 43244210401.

It can be written as a sum of positive squares in 8 ways, for example, as 10252777536 + 93759664804 = 101256^2 + 306202^2 .

It is a super-3 number, since 3×1040124423403 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (104012442341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6893044 + ... + 6908116.

It is an arithmetic number, because the mean of its divisors is an integer number (4599054789).

Almost surely, 2104012442340 is an apocalyptic number.

104012442340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104012442340 is an abundant number, since it is smaller than the sum of its proper divisors (116742187532).

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

104012442340 is a wasteful number, since it uses less digits than its factorization.

104012442340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18736 (or 18734 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 104012442340 its reverse (43244210401), we get a palindrome (147256652741).

The spelling of 104012442340 in words is "one hundred four billion, twelve million, four hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 3557 7114 14228 15073 17785 30146 35570 60292 71140 75365 150730 301460 345029 690058 1380116 1462081 1725145 2924162 3450290 5848324 6900580 7310405 14620810 29241620 53614661 107229322 214458644 268073305 536146610 1072293220 5200622117 10401244234 20802488468 26003110585 52006221170 104012442340