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402221411021430 = 23357111389109153409
BaseRepresentation
bin101101101110100010111100…
…0010100110011001001110110
31221202010222202201000020101000
41123131011320110303021312
5410204443422210141210
63543241544302344130
7150502352345026410
oct13335057024631166
91852128681006330
10402221411021430
111071841626a3a10
123914125488b046
1314358415c16130
147147897a419b0
153177a7e11bac0
hex16dd178533276

402221411021430 has 1024 divisors, whose sum is σ = 1469672709120000. Its totient is φ = 75582182522880.

The previous prime is 402221411021393. The next prime is 402221411021569. The reversal of 402221411021430 is 34120114122204.

402221411021430 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 2 + 1 + 411 + 0 + 214 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 402221411021394 and 402221411021403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2621812566 + ... + 2621965974.

It is an arithmetic number, because the mean of its divisors is an integer number (1435227255000).

Almost surely, 2402221411021430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402221411021430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734836354560000).

402221411021430 is an abundant number, since it is smaller than the sum of its proper divisors (1067451298098570).

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

402221411021430 is a wasteful number, since it uses less digits than its factorization.

402221411021430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153654 (or 153648 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 402221411021430 its reverse (34120114122204), we get a palindrome (436341525143634).

The spelling of 402221411021430 in words is "four hundred two trillion, two hundred twenty-one billion, four hundred eleven million, twenty-one thousand, four hundred thirty".