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39217124340 = 2232510317312227
BaseRepresentation
bin100100100001100001…
…011101001111110100
310202020002221022222200
4210201201131033310
51120304040434330
630003251024500
72555560025322
oct444141351764
9122202838880
1039217124340
11156a5053a69
12772589b130
13390cb16c24
141c8061cd12
151047de3a60
hex92185d3f4

39217124340 has 144 divisors (see below), whose sum is σ = 120817726848. Its totient is φ = 10295661312.

The previous prime is 39217124269. The next prime is 39217124341. The reversal of 39217124340 is 4342171293.

It is a happy number.

39217124340 is a `hidden beast` number, since 3 + 9 + 217 + 1 + 2 + 434 + 0 = 666.

It is a super-3 number, since 3×392171243403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 39217124295 and 39217124304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39217124341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3201307 + ... + 3213533.

It is an arithmetic number, because the mean of its divisors is an integer number (839011992).

Almost surely, 239217124340 is an apocalyptic number.

39217124340 is a gapful number since it is divisible by the number (30) 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 39217124340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60408863424).

39217124340 is an abundant number, since it is smaller than the sum of its proper divisors (81600602508).

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

39217124340 is a wasteful number, since it uses less digits than its factorization.

39217124340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12518 (or 12513 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 39217124340 in words is "thirty-nine billion, two hundred seventeen million, one hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 173 180 206 309 346 412 515 519 618 692 865 927 1030 1038 1236 1545 1557 1730 1854 2060 2076 2595 3090 3114 3460 3708 4635 5190 6180 6228 7785 9270 10380 12227 15570 17819 18540 24454 31140 35638 36681 48908 53457 61135 71276 73362 89095 106914 110043 122270 146724 160371 178190 183405 213828 220086 244540 267285 320742 356380 366810 440172 534570 550215 641484 733620 801855 1069140 1100430 1259381 1603710 2115271 2200860 2518762 3207420 3778143 4230542 5037524 6296905 6345813 7556286 8461084 10576355 11334429 12593810 12691626 15112572 18890715 19037439 21152710 22668858 25187620 25383252 31729065 37781430 38074878 42305420 45337716 56672145 63458130 75562860 76149756 95187195 113344290 126916260 190374390 217872913 226688580 380748780 435745826 653618739 871491652 1089364565 1307237478 1960856217 2178729130 2614474956 3268093695 3921712434 4357458260 6536187390 7843424868 9804281085 13072374780 19608562170 39217124340