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214402421232 = 2434165433967
BaseRepresentation
bin1100011110101101100…
…0010101000111110000
3202111102001222111020000
43013223120111013300
512003044004434412
6242254535550000
721330043340166
oct3075330250760
9674361874200
10214402421232
1182a2263946a
1235676b2b300
13172ab10970c
14a53cbcd236
15589ca984dc
hex31eb6151f0

214402421232 has 50 divisors (see below), whose sum is σ = 620542813968. Its totient is φ = 71467473312.

The previous prime is 214402421213. The next prime is 214402421239. The reversal of 214402421232 is 232124204412.

It is a happy number.

214402421232 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 0 + 2 + 421 + 232 = 666.

214402421232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 214402421196 and 214402421205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214402421239) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 82715688 + ... + 82718279.

Almost surely, 2214402421232 is an apocalyptic number.

It is an amenable number.

214402421232 is an abundant number, since it is smaller than the sum of its proper divisors (406140392736).

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

214402421232 is a wasteful number, since it uses less digits than its factorization.

214402421232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165433987 (or 165433972 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 214402421232 its reverse (232124204412), we get a palindrome (446526625644).

The spelling of 214402421232 in words is "two hundred fourteen billion, four hundred two million, four hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 165433967 330867934 496301901 661735868 992603802 1323471736 1488905703 1985207604 2646943472 2977811406 3970415208 4466717109 5955622812 7940830416 8933434218 11911245624 13400151327 17866868436 23822491248 26800302654 35733736872 53600605308 71467473744 107201210616 214402421232