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134441456150064 = 24372339116856527
BaseRepresentation
bin11110100100011000010111…
…001111001010011000110000
3122122000110220020022222120010
4132210120113033022120300
5120110142100233300224
61153533315145214520
740214034420113100
oct3644302717123060
9578013806288503
10134441456150064
113992333512a338
12130b37a3791440
135a02a0c64c75b
14252b0033d9200
1510821e66bae29
hex7a46173ca630

134441456150064 has 120 divisors (see below), whose sum is σ = 404129460154368. Its totient is φ = 38400514750080.

The previous prime is 134441456150063. The next prime is 134441456150069. The reversal of 134441456150064 is 460051654144431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 134441456149995 and 134441456150022.

It is not an unprimeable number, because it can be changed into a prime (134441456150063) 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, 452632 + ... + 16403895.

Almost surely, 2134441456150064 is an apocalyptic number.

134441456150064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134441456150064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202064730077184).

134441456150064 is an abundant number, since it is smaller than the sum of its proper divisors (269688004004304).

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

134441456150064 is a wasteful number, since it uses less digits than its factorization.

134441456150064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16859943 (or 16859930 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 134441456150064 in words is "one hundred thirty-four trillion, four hundred forty-one billion, four hundred fifty-six million, one hundred fifty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 3391 6782 10173 13564 20346 23737 27128 40692 47474 54256 71211 81384 94948 142422 162768 166159 189896 284844 332318 379792 498477 569688 664636 996954 1139376 1329272 1993908 2658544 3987816 7975632 16856527 33713054 50569581 67426108 101139162 117995689 134852216 202278324 235991378 269704432 353987067 404556648 471982756 707974134 809113296 825969823 943965512 1415948268 1651939646 1887931024 2477909469 2831896536 3303879292 4955818938 5663793072 6607758584 9911637876 13215517168 19823275752 39646551504 57160483057 114320966114 171481449171 228641932228 342962898342 400123381399 457283864456 685925796684 800246762798 914567728912 1200370144197 1371851593368 1600493525596 2400740288394 2743703186736 2800863669793 3200987051192 4801480576788 5601727339586 6401974102384 8402591009379 9602961153576 11203454679172 16805182018758 19205922307152 22406909358344 33610364037516 44813818716688 67220728075032 134441456150064