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3134601412635 = 3571110752348497
BaseRepresentation
bin101101100111010100110…
…011011100000000011011
3102002122221202120111120010
4231213110303130000123
5402324130430201020
610400003242533003
7442316226246450
oct55472463340033
912078852514503
103134601412635
11aa9416862270
1242760b807163
1319978cac79b4
14aba03549827
1556811528de0
hex2d9d4cdc01b

3134601412635 has 128 divisors (see below), whose sum is σ = 6323555672064. Its totient is φ = 1288022722560.

The previous prime is 3134601412603. The next prime is 3134601412639. The reversal of 3134601412635 is 5362141064313.

3134601412635 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3134601412635 - 25 = 3134601412603 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3134601412593 and 3134601412602.

It is not an unprimeable number, because it can be changed into a prime (3134601412639) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64610707 + ... + 64659203.

It is an arithmetic number, because the mean of its divisors is an integer number (49402778688).

Almost surely, 23134601412635 is an apocalyptic number.

3134601412635 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3134601412635 is an abundant number, since it is smaller than the sum of its proper divisors (3188954259429).

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

3134601412635 is a wasteful number, since it uses less digits than its factorization.

3134601412635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49153.

The product of its (nonzero) digits is 155520, while the sum is 39.

Adding to 3134601412635 its reverse (5362141064313), we get a palindrome (8496742476948).

The spelling of 3134601412635 in words is "three trillion, one hundred thirty-four billion, six hundred one million, four hundred twelve thousand, six hundred thirty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 107 165 231 321 385 523 535 749 1155 1177 1569 1605 2247 2615 3531 3661 3745 5753 5885 7845 8239 10983 11235 17259 17655 18305 24717 28765 40271 41195 48497 54915 55961 86295 120813 123585 145491 167883 201355 242485 279805 339479 391727 533467 604065 615571 727455 839415 1018437 1175181 1600401 1697395 1846713 1958635 2667335 3077855 3734269 4308997 5092185 5189179 5875905 8002005 9233565 11202807 12926991 15567537 18671345 21544985 25363931 25945895 36324253 56014035 57080969 64634955 76091793 77837685 108972759 126819655 171242907 177547517 181621265 279003241 285404845 380458965 399566783 532642551 544863795 837009723 856214535 887737585 1198700349 1395016205 1953022687 1997833915 2663212755 2713940617 4185048615 5859068061 5993501745 8141821851 9765113435 13569703085 18997584319 29295340305 29853346787 40709109255 56992752957 89560040361 94987921595 149266733935 208973427509 284963764785 447800201805 626920282527 1044867137545 3134601412635