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414023201322 = 23679710617613
BaseRepresentation
bin1100000011001011011…
…01001011001000101010
31110120122222200210210120
412001211231023020222
523240404414420242
6514111042024110
741624611100613
oct6014555131052
91416588623716
10414023201322
1114a64a338085
12682a7648036
13300719b17c3
1416078798c0a
15ab82ab11ec
hex6065b4b22a

414023201322 has 32 divisors (see below), whose sum is σ = 849069356352. Its totient is φ = 134546379264.

The previous prime is 414023201321. The next prime is 414023201323. The reversal of 414023201322 is 223102320414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (414023201321) and next prime (414023201323).

It is a super-2 number, since 2×4140232013222 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414023201292 and 414023201301.

It is not an unprimeable number, because it can be changed into a prime (414023201321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5269813 + ... + 5347800.

It is an arithmetic number, because the mean of its divisors is an integer number (26533417386).

Almost surely, 2414023201322 is an apocalyptic number.

414023201322 is an abundant number, since it is smaller than the sum of its proper divisors (435046155030).

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

414023201322 is a wasteful number, since it uses less digits than its factorization.

414023201322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10617782.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 414023201322 its reverse (223102320414), we get a palindrome (637125521736).

The spelling of 414023201322 in words is "four hundred fourteen billion, twenty-three million, two hundred one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 67 97 134 194 201 291 402 582 6499 12998 19497 38994 10617613 21235226 31852839 63705678 711380071 1029908461 1422760142 2059816922 2134140213 3089725383 4268280426 6179450766 69003866887 138007733774 207011600661 414023201322