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412200440334 = 232197116243779
BaseRepresentation
bin1011111111110010000…
…11111001001000001110
31110101221221211221210100
411333321003321020032
523223141303042314
6513210125551530
741531465634624
oct5777103711016
91411857757710
10412200440334
111498a4447841
1267a791155a6
132cb411826c7
1415d44679514
15aac7a5dc09
hex5ff90f920e

412200440334 has 24 divisors (see below), whose sum is σ = 897634469160. Its totient is φ = 136702682928.

The previous prime is 412200440329. The next prime is 412200440339. The reversal of 412200440334 is 433044002214.

It is a happy number.

412200440334 is a `hidden beast` number, since 4 + 1 + 220 + 0 + 4 + 403 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (412200440329) and next prime (412200440339).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 412200440298 and 412200440307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412200440339) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58118344 + ... + 58125435.

It is an arithmetic number, because the mean of its divisors is an integer number (37401436215).

Almost surely, 2412200440334 is an apocalyptic number.

412200440334 is an abundant number, since it is smaller than the sum of its proper divisors (485434028826).

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

412200440334 is a wasteful number, since it uses less digits than its factorization.

412200440334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116243984 (or 116243981 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 412200440334 its reverse (433044002214), we get a palindrome (845244442548).

The spelling of 412200440334 in words is "four hundred twelve billion, two hundred million, four hundred forty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 197 394 591 1182 1773 3546 116243779 232487558 348731337 697462674 1046194011 2092388022 22900024463 45800048926 68700073389 137400146778 206100220167 412200440334