Search a number
-
+
34123450515 = 35711174433923
BaseRepresentation
bin11111110001111010…
…101000100010010011
310021002010021220002120
4133301322220202103
51024341100404030
623402011545323
72315416354320
oct376172504223
9107063256076
1034123450515
1113520886480
126743a5b243
1332aa74b14b
141919d35b47
15d4ab37010
hex7f1ea8893

34123450515 has 128 divisors (see below), whose sum is σ = 72254840832. Its totient is φ = 13313464320.

The previous prime is 34123450451. The next prime is 34123450523. The reversal of 34123450515 is 51505432143.

It is not a de Polignac number, because 34123450515 - 26 = 34123450451 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 127 ways as a sum of consecutive naturals, for example, 8696344 + ... + 8700266.

It is an arithmetic number, because the mean of its divisors is an integer number (564490944).

Almost surely, 234123450515 is an apocalyptic number.

34123450515 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34123450515 is an abundant number, since it is smaller than the sum of its proper divisors (38131390317).

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

34123450515 is a wasteful number, since it uses less digits than its factorization.

34123450515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4409.

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 34123450515 its reverse (51505432143), we get a palindrome (85628882658).

The spelling of 34123450515 in words is "thirty-four billion, one hundred twenty-three million, four hundred fifty thousand, five hundred fifteen".

Divisors: 1 3 5 7 11 15 17 21 33 35 51 55 77 85 105 119 165 187 231 255 357 385 443 561 595 935 1155 1309 1329 1785 2215 2805 3101 3923 3927 4873 6545 6645 7531 9303 11769 14619 15505 19615 19635 22593 24365 27461 34111 37655 43153 46515 52717 58845 66691 73095 82383 82841 102333 112965 129459 137305 158151 170555 200073 215765 248523 263585 302071 333455 411915 414205 466837 511665 579887 647295 733601 790755 906213 1000365 1242615 1400511 1510355 1737889 1739661 2200803 2334185 2899435 3668005 4531065 5135207 5213667 7002555 8689445 8698305 11004015 12165223 15405621 19116779 25676035 26068335 29544113 36495669 57350337 60826115 77028105 88632339 95583895 133817453 147720565 182478345 206808791 286751685 324985243 401452359 443161695 620426373 669087265 974955729 1034043955 1624926215 2007261795 2274896701 3102131865 4874778645 6824690103 11374483505 34123450515