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431421202114232 = 231123598218635099
BaseRepresentation
bin110001000011000000001001…
…1100000000010011010111000
32002120112110112100110200001212
41202012000103200002122320
5423021401110220123412
64125320055243502252
7156605103366100661
oct14206002340023270
92076473470420055
10431421202114232
111155117825141a0
124047839b827988
1315695aca023395
147876c7d006368
1534d23c75da222
hex18860138026b8

431421202114232 has 256 divisors, whose sum is σ = 938838159360000. Its totient is φ = 183921125132800.

The previous prime is 431421202114229. The next prime is 431421202114249. The reversal of 431421202114232 is 232411202124134.

It is a super-2 number, since 2×4314212021142322 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84608980019 + ... + 84608985117.

It is an arithmetic number, because the mean of its divisors is an integer number (3667336560000).

Almost surely, 2431421202114232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431421202114232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469419079680000).

431421202114232 is an abundant number, since it is smaller than the sum of its proper divisors (507416957245768).

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

431421202114232 is a wasteful number, since it uses less digits than its factorization.

431421202114232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6882 (or 6878 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 431421202114232 its reverse (232411202124134), we get a palindrome (663832404238366).

The spelling of 431421202114232 in words is "four hundred thirty-one trillion, four hundred twenty-one billion, two hundred two million, one hundred fourteen thousand, two hundred thirty-two".