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34121110040 = 2351751479749
BaseRepresentation
bin11111110001110001…
…101101001000011000
310021001221212222120022
4133301301231020120
51024340001010130
623401445450012
72315360435633
oct376161551030
9107057788508
1034121110040
111351a527aa6
126743110908
1332aa10ba54
1419198c6c1a
15d4a8237e5
hex7f1c6d218

34121110040 has 64 divisors (see below), whose sum is σ = 81312660000. Its totient is φ = 12841781248.

The previous prime is 34121110021. The next prime is 34121110097. The reversal of 34121110040 is 4001112143.

It is a happy number.

It is a super-6 number, since 6×341211100406 (a number of 64 digits) contains 666666 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3495086 + ... + 3504834.

Almost surely, 234121110040 is an apocalyptic number.

It is an amenable number.

34121110040 is an abundant number, since it is smaller than the sum of its proper divisors (47191549960).

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

34121110040 is a wasteful number, since it uses less digits than its factorization.

34121110040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14924 (or 14920 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 34121110040 its reverse (4001112143), we get a palindrome (38122222183).

The spelling of 34121110040 in words is "thirty-four billion, one hundred twenty-one million, one hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 5147 9749 10294 19498 20588 25735 38996 41176 48745 51470 77992 87499 97490 102940 165733 174998 194980 205880 331466 349996 389960 437495 662932 699992 828665 874990 1325864 1657330 1749980 3314660 3499960 6629320 50178103 100356206 200712412 250890515 401424824 501781030 853027751 1003562060 1706055502 2007124120 3412111004 4265138755 6824222008 8530277510 17060555020 34121110040