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414421244334 = 232311157147123
BaseRepresentation
bin1100000011111010110…
…11100101100110101110
31110121200201200111011100
412001331123211212232
523242213314304314
6514214341303530
741640513312066
oct6017533454656
91417621614140
10414421244334
1114a833a96749
1268398a04ba6
13301062b9406
14160b55b03a6
15aba79d9c09
hex607d6e59ae

414421244334 has 48 divisors (see below), whose sum is σ = 901392395904. Its totient is φ = 137605664400.

The previous prime is 414421244323. The next prime is 414421244359. The reversal of 414421244334 is 433442124414.

414421244334 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 212 + 4 + 433 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8770897 + ... + 8818019.

It is an arithmetic number, because the mean of its divisors is an integer number (18779008248).

Almost surely, 2414421244334 is an apocalyptic number.

414421244334 is an abundant number, since it is smaller than the sum of its proper divisors (486971151570).

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

414421244334 is a wasteful number, since it uses less digits than its factorization.

414421244334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49013 (or 49010 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 414421244334 its reverse (433442124414), we get a palindrome (847863368748).

The spelling of 414421244334 in words is "four hundred fourteen billion, four hundred twenty-one million, two hundred forty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 311 622 933 1571 1866 2799 3142 4713 5598 9426 14139 28278 47123 94246 141369 282738 424107 488581 848214 977162 1465743 2931486 4397229 8794458 14655253 29310506 43965759 74030233 87931518 131897277 148060466 222090699 263794554 444181398 666272097 1332544194 23023402463 46046804926 69070207389 138140414778 207210622167 414421244334