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134472107448 = 23337251354329
BaseRepresentation
bin111110100111100101…
…0011000010110111000
3110212002120222211202000
41331033022120112320
54200344324414243
6141435311541000
712500226024330
oct1751712302670
9425076884660
10134472107448
1152035aa96a8
122208a52a760
13c8b0563663
1467193d40c0
1537707925d3
hex1f4f2985b8

134472107448 has 128 divisors (see below), whose sum is σ = 428597568000. Its totient is φ = 38267424000.

The previous prime is 134472107411. The next prime is 134472107449. The reversal of 134472107448 is 844701274431.

134472107448 is a `hidden beast` number, since 1 + 34 + 4 + 72 + 107 + 448 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134472107449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202348 + ... + 556676.

It is an arithmetic number, because the mean of its divisors is an integer number (3348418500).

Almost surely, 2134472107448 is an apocalyptic number.

134472107448 is a gapful number since it is divisible by the number (18) 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 134472107448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214298784000).

134472107448 is an abundant number, since it is smaller than the sum of its proper divisors (294125460552).

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

134472107448 is a wasteful number, since it uses less digits than its factorization.

134472107448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354602 (or 354592 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 134472107448 in words is "one hundred thirty-four billion, four hundred seventy-two million, one hundred seven thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 251 252 378 502 504 753 756 1004 1506 1512 1757 2008 2259 3012 3514 4518 5271 6024 6777 7028 9036 10542 13554 14056 15813 18072 21084 27108 31626 42168 47439 54216 63252 94878 126504 189756 354329 379512 708658 1062987 1417316 2125974 2480303 2834632 3188961 4251948 4960606 6377922 7440909 8503896 9566883 9921212 12755844 14881818 19133766 19842424 22322727 25511688 29763636 38267532 44645454 59527272 66968181 76535064 88936579 89290908 133936362 177873158 178581816 266809737 267872724 355746316 533619474 535745448 622556053 711492632 800429211 1067238948 1245112106 1600858422 1867668159 2134477896 2401287633 2490224212 3201716844 3735336318 4802575266 4980448424 5603004477 6403433688 7470672636 9605150532 11206008954 14941345272 16809013431 19210301064 22412017908 33618026862 44824035816 67236053724 134472107448