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401433244422 = 237411574493307
BaseRepresentation
bin1011101011101110100…
…10010011001100000110
31102101011120110201201120
411311313102103030012
523034113402310142
6504225455334410
741000614164120
oct5656722231406
91371146421646
10401433244422
11145279668121
1265973221406
132bb16559772
141560268a210
15a6976587ec
hex5d77493306

401433244422 has 128 divisors (see below), whose sum is σ = 948321561600. Its totient is φ = 110903869440.

The previous prime is 401433244397. The next prime is 401433244423. The reversal of 401433244422 is 224442334104.

It is a super-2 number, since 2×4014332444222 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401433244423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121387293 + ... + 121390599.

It is an arithmetic number, because the mean of its divisors is an integer number (7408762200).

Almost surely, 2401433244422 is an apocalyptic number.

401433244422 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 401433244422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474160780800).

401433244422 is an abundant number, since it is smaller than the sum of its proper divisors (546888317178).

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

401433244422 is a wasteful number, since it uses less digits than its factorization.

401433244422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966.

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 401433244422 its reverse (224442334104), we get a palindrome (625875578526).

The spelling of 401433244422 in words is "four hundred one billion, four hundred thirty-three million, two hundred forty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 157 246 287 314 449 471 574 861 898 942 1099 1347 1722 2198 2694 3143 3297 3307 6286 6437 6594 6614 9429 9921 12874 18409 18858 19311 19842 23149 36818 38622 45059 46298 55227 69447 70493 90118 110454 128863 135177 135587 138894 140986 211479 257726 270354 271174 386589 406761 422958 493451 519199 773178 813522 949109 986902 1038398 1480353 1484843 1557597 1898218 2847327 2890213 2960706 2969686 3115194 3634393 4454529 5694654 5780426 7268786 8670639 8909058 10393901 10903179 17341278 20231491 20787802 21287159 21806358 31181703 40462982 42574318 60694473 60878563 62363406 63861477 121388946 121757126 127722954 149010113 182635689 233120351 298020226 365271378 426149941 447030339 466240702 699361053 852299882 894060678 1278449823 1398722106 1631842457 2556899646 3263684914 4895527371 9557934391 9791054742 19115868782 28673803173 57347606346 66905540737 133811081474 200716622211 401433244422