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480307114406088 = 2332231009287453447
BaseRepresentation
bin110110100110101100011011…
…0111011111111000011001000
32022222121220121122001102221200
41231031120312323333003020
51000423322432241443323
64421310013043104200
7203112021022330134
oct15515306673770310
92288556548042850
10480307114406088
1112a04a115557692
1245a528a0972060
13178009c71304c8
148686dba15c3c4
153a7dd54add443
hex1b4d636eff0c8

480307114406088 has 96 divisors (see below), whose sum is σ = 1358734958006400. Its totient is φ = 152989622843904.

The previous prime is 480307114406083. The next prime is 480307114406107. The reversal of 480307114406088 is 880604411703084.

480307114406088 is a `hidden beast` number, since 4 + 80 + 3 + 0 + 71 + 14 + 406 + 0 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (480307114406083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142055820 + ... + 145397627.

It is an arithmetic number, because the mean of its divisors is an integer number (14153489145900).

Almost surely, 2480307114406088 is an apocalyptic number.

It is an amenable number.

480307114406088 is an abundant number, since it is smaller than the sum of its proper divisors (878427843600312).

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

480307114406088 is a wasteful number, since it uses less digits than its factorization.

480307114406088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287454491 (or 287454484 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 480307114406088 in words is "four hundred eighty trillion, three hundred seven billion, one hundred fourteen million, four hundred six thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1009 1656 2018 3027 4036 6054 8072 9081 12108 18162 23207 24216 36324 46414 69621 72648 92828 139242 185656 208863 278484 417726 556968 835452 1670904 287453447 574906894 862360341 1149813788 1724720682 2299627576 2587081023 3449441364 5174162046 6611429281 6898882728 10348324092 13222858562 19834287843 20696648184 26445717124 39668575686 52891434248 59502863529 79337151372 119005727058 158674302744 238011454116 290040528023 476022908232 580081056046 870121584069 1160162112092 1740243168138 2320324224184 2610364752207 3480486336276 5220729504414 6670932144529 6960972672552 10441459008828 13341864289058 20012796433587 20882918017656 26683728578116 40025592867174 53367457156232 60038389300761 80051185734348 120076778601522 160102371468696 240153557203044 480307114406088