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412444441404 = 22352657159701
BaseRepresentation
bin1100000000001111001…
…10101011101100111100
31110102120221222111100000
412000013212223230330
523224141234111104
6513250243434300
741540520623202
oct6000746535474
91412527874300
10412444441404
11149a0a153416
1267b26985990
132cb7c8a4738
1415d68c33072
15aade1aa639
hex60079abb3c

412444441404 has 72 divisors (see below), whose sum is σ = 1081595209968. Its totient is φ = 137428876800.

The previous prime is 412444441397. The next prime is 412444441411. The reversal of 412444441404 is 404144444214.

412444441404 is a `hidden beast` number, since 4 + 1 + 244 + 4 + 4 + 4 + 1 + 404 = 666.

It is an interprime number because it is at equal distance from previous prime (412444441397) and next prime (412444441411).

It is a super-2 number, since 2×4124444414042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2502754 + ... + 2662454.

It is an arithmetic number, because the mean of its divisors is an integer number (15022155694).

Almost surely, 2412444441404 is an apocalyptic number.

It is an amenable number.

412444441404 is an abundant number, since it is smaller than the sum of its proper divisors (669150768564).

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

412444441404 is a wasteful number, since it uses less digits than its factorization.

412444441404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162377 (or 162363 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 412444441404 its reverse (404144444214), we get a palindrome (816588885618).

The spelling of 412444441404 in words is "four hundred twelve billion, four hundred forty-four million, four hundred forty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 2657 5314 7971 10628 15942 23913 31884 47826 71739 95652 143478 159701 215217 286956 319402 430434 479103 638804 645651 860868 958206 1291302 1437309 1916412 2582604 2874618 4311927 5749236 8623854 12935781 17247708 25871562 38807343 51743124 77614686 155229372 424325557 848651114 1272976671 1697302228 2545953342 3818930013 5091906684 7637860026 11456790039 15275720052 22913580078 34370370117 45827160156 68740740234 103111110351 137481480468 206222220702 412444441404