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34121041045 = 57132112931213
BaseRepresentation
bin11111110001110001…
…011100010010010101
310021001221202110220221
4133301301130102111
51024334441303140
623401444154341
72315360030530
oct376161342225
9107057673827
1034121041045
111351a490183
1267430989b1
1332aa0b6520
1419198a9a17
15d4a80d14a
hex7f1c5c495

34121041045 has 64 divisors (see below), whose sum is σ = 50847681024. Its totient is φ = 21404113920.

The previous prime is 34121040949. The next prime is 34121041057. The reversal of 34121041045 is 54014012143.

It is not a de Polignac number, because 34121041045 - 27 = 34121040917 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28128859 + ... + 28130071.

It is an arithmetic number, because the mean of its divisors is an integer number (794495016).

Almost surely, 234121041045 is an apocalyptic number.

34121041045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34121041045 is a deficient number, since it is larger than the sum of its proper divisors (16726639979).

34121041045 is a wasteful number, since it uses less digits than its factorization.

34121041045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742.

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 34121041045 its reverse (54014012143), we get a palindrome (88135053188).

The spelling of 34121041045 in words is "thirty-four billion, one hundred twenty-one million, forty-one thousand, forty-five".

Divisors: 1 5 7 13 35 65 91 211 293 455 1055 1213 1465 1477 2051 2743 3809 6065 7385 8491 10255 13715 15769 19045 19201 26663 42455 61823 78845 96005 110383 133315 255943 309115 355409 432761 551915 803699 1279715 1777045 1791601 2163805 2487863 3327259 4018495 4620317 5625893 8958005 12439315 16636295 23101585 23290813 28129465 32342219 74991299 116454065 161711095 374956495 524939093 974886887 2624695465 4874434435 6824208209 34121041045