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414403442442 = 23411317501601
BaseRepresentation
bin1100000011111000101…
…11101011011100001010
31110121122111012001120000
412001330113223130022
523242144240124232
6514212503543430
741640206066403
oct6017427533412
91417574161500
10414403442442
1114a824a37940
1268392a5ab76
13301026c5652
14160b30989aa
15aba617027c
hex607c5eb70a

414403442442 has 80 divisors (see below), whose sum is σ = 1045663305984. Its totient is φ = 121525920000.

The previous prime is 414403442339. The next prime is 414403442489. The reversal of 414403442442 is 244244304414.

It is a happy number.

414403442442 is a `hidden beast` number, since 4 + 1 + 4 + 403 + 4 + 4 + 244 + 2 = 666.

414403442442 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 414403442397 and 414403442406.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3695559 + ... + 3806042.

Almost surely, 2414403442442 is an apocalyptic number.

414403442442 is an abundant number, since it is smaller than the sum of its proper divisors (631259863542).

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

414403442442 is a wasteful number, since it uses less digits than its factorization.

414403442442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7501657 (or 7501648 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 414403442442 its reverse (244244304414), we get a palindrome (658647746856).

The spelling of 414403442442 in words is "four hundred fourteen billion, four hundred three million, four hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 81 93 99 162 186 198 279 297 341 558 594 682 837 891 1023 1674 1782 2046 2511 3069 5022 6138 9207 18414 27621 55242 7501601 15003202 22504803 45009606 67514409 82517611 135028818 165035222 202543227 232549631 247552833 405086454 465099262 495105666 607629681 697648893 742658499 1215259362 1395297786 1485316998 2092946679 2227975497 2558045941 4185893358 4455950994 5116091882 6278840037 6683926491 7674137823 12557680074 13367852982 15348275646 18836520111 23022413469 37673040222 46044826938 69067240407 138134480814 207201721221 414403442442