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402211314241 = 111719895112647
BaseRepresentation
bin1011101101001011010…
…10011001101001000001
31102110011210112202212021
411312211222121221001
523042212044023431
6504435012201441
741026112522212
oct5664552315101
91373153482767
10402211314241
1114563888a530
1265b4b909281
132bc0b8017c9
1415677b47409
15a6e0aecb11
hex5da5a99a41

402211314241 has 32 divisors (see below), whose sum is σ = 489131550720. Its totient is φ = 325963296000.

The previous prime is 402211314229. The next prime is 402211314251. The reversal of 402211314241 is 142413112204.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-402211314241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (402211314251) 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 31 ways as a sum of consecutive naturals, for example, 31796580 + ... + 31809226.

It is an arithmetic number, because the mean of its divisors is an integer number (15285360960).

Almost surely, 2402211314241 is an apocalyptic number.

It is an amenable number.

402211314241 is a deficient number, since it is larger than the sum of its proper divisors (86920236479).

402211314241 is a wasteful number, since it uses less digits than its factorization.

402211314241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21645.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 402211314241 its reverse (142413112204), we get a palindrome (544624426445).

The spelling of 402211314241 in words is "four hundred two billion, two hundred eleven million, three hundred fourteen thousand, two hundred forty-one".

Divisors: 1 11 17 19 187 209 323 3553 8951 12647 98461 139117 152167 170069 214999 240293 1673837 1870759 2364989 2643223 2891173 4084981 31802903 44934791 113203297 1245236267 1924456049 2150862643 21169016539 23659489073 36564664931 402211314241